Mishchenko, A. S.; Oliveira, J. R. Whitney-Sullivan constructions for transitive Lie algebroids–smooth case. (English) Zbl 07741502 Russ. J. Math. Phys. 30, No. 3, 360-374 (2023). MSC: 57N65 14F40 58A12 PDF BibTeX XML Cite \textit{A. S. Mishchenko} and \textit{J. R. Oliveira}, Russ. J. Math. Phys. 30, No. 3, 360--374 (2023; Zbl 07741502) Full Text: DOI arXiv
Crabb, M. C. On Borsuk-Ulam theorems and convex sets. (English) Zbl 07740602 Mathematika 69, No. 2, 366-370 (2023). MSC: 05E45 52A20 55M25 55R25 54E35 PDF BibTeX XML Cite \textit{M. C. Crabb}, Mathematika 69, No. 2, 366--370 (2023; Zbl 07740602) Full Text: DOI arXiv
Caruvana, Christopher The Hurewicz property and the Vietoris hyperspace. (English) Zbl 07739153 Topology Appl. 338, Article ID 108670, 20 p. (2023). MSC: 54D20 54B20 54C35 PDF BibTeX XML Cite \textit{C. Caruvana}, Topology Appl. 338, Article ID 108670, 20 p. (2023; Zbl 07739153) Full Text: DOI arXiv
García-Velázquez, Luis Miguel On unicoherence and contractibility of hyperspaces of nonmetrizable continua. (English) Zbl 07725146 Rocky Mt. J. Math. 53, No. 2, 435-448 (2023). MSC: 54B20 54F15 PDF BibTeX XML Cite \textit{L. M. García-Velázquez}, Rocky Mt. J. Math. 53, No. 2, 435--448 (2023; Zbl 07725146) Full Text: DOI Link
Shukla, Samir On Vietoris-Rips complexes (with scale 3) of hypercube graphs. (English) Zbl 07725058 SIAM J. Discrete Math. 37, No. 3, 1472-1495 (2023). MSC: 05E45 55U10 55N31 PDF BibTeX XML Cite \textit{S. Shukla}, SIAM J. Discrete Math. 37, No. 3, 1472--1495 (2023; Zbl 07725058) Full Text: DOI arXiv
Huseyin, Anar On the Vietoris semicontinuity property of the \(L_p\) balls at \(p=1\) and an application. (English) Zbl 07721181 Arch. Math. 121, No. 2, 171-182 (2023). MSC: 26E25 54C60 PDF BibTeX XML Cite \textit{A. Huseyin}, Arch. Math. 121, No. 2, 171--182 (2023; Zbl 07721181) Full Text: DOI
Adams, Henry; Frick, Florian; Virk, Žiga Vietoris thickenings and complexes have isomorphic homotopy groups. (English) Zbl 07716162 J. Appl. Comput. Topol. 7, No. 2, 221-241 (2023). MSC: 55N31 54E35 55P10 55U10 PDF BibTeX XML Cite \textit{H. Adams} et al., J. Appl. Comput. Topol. 7, No. 2, 221--241 (2023; Zbl 07716162) Full Text: DOI arXiv
Müller, Tobias; Stehlík, Matěj On the contractibility of random Vietoris-Rips complexes. (English) Zbl 1512.05362 Discrete Comput. Geom. 69, No. 4, 1139-1156 (2023). MSC: 05C80 05E45 55U10 60B05 PDF BibTeX XML Cite \textit{T. Müller} and \textit{M. Stehlík}, Discrete Comput. Geom. 69, No. 4, 1139--1156 (2023; Zbl 1512.05362) Full Text: DOI arXiv
O’Regan, Donal Collectively coincidence-type results and applications. (English) Zbl 1514.47084 Appl. Anal. 102, No. 3, 890-901 (2023). MSC: 47H10 47H04 54H25 54C65 PDF BibTeX XML Cite \textit{D. O'Regan}, Appl. Anal. 102, No. 3, 890--901 (2023; Zbl 1514.47084) Full Text: DOI
Goubault-Larrecq, Jean Kantorovich-Rubinstein quasi-metrics. IV: Lenses, quasi-lenses and forks. (English) Zbl 07679998 Topology Appl. 332, Article ID 108513, 22 p. (2023). Reviewer: James Peters (Winnipeg) MSC: 54E99 68U03 PDF BibTeX XML Cite \textit{J. Goubault-Larrecq}, Topology Appl. 332, Article ID 108513, 22 p. (2023; Zbl 07679998) Full Text: DOI
Paik, Taejin; van Koert, Otto Expected invariants of simplicial complexes obtained from random point samples. (English) Zbl 07668159 Arch. Math. 120, No. 4, 417-429 (2023). Reviewer: Jason Hanson (Redmond) MSC: 55N31 62R30 55U10 PDF BibTeX XML Cite \textit{T. Paik} and \textit{O. van Koert}, Arch. Math. 120, No. 4, 417--429 (2023; Zbl 07668159) Full Text: DOI
Hernández-Gutiérrez, Rodrigo; Zaragoza, Alfredo A characterization of the product of the rational numbers and complete Erdős space. (English) Zbl 07664392 Can. Math. Bull. 66, No. 1, 87-102 (2023). Reviewer: Jan van Mill (Amsterdam) MSC: 54F65 54F50 54A10 54B20 54H05 PDF BibTeX XML Cite \textit{R. Hernández-Gutiérrez} and \textit{A. Zaragoza}, Can. Math. Bull. 66, No. 1, 87--102 (2023; Zbl 07664392) Full Text: DOI arXiv
Guidolin, Andrea; Landi, Claudia Morse inequalities for the Koszul complex of multi-persistence. (English) Zbl 07663835 J. Pure Appl. Algebra 227, No. 7, Article ID 107319, 26 p. (2023). MSC: 55N31 55U15 13D02 57Q70 PDF BibTeX XML Cite \textit{A. Guidolin} and \textit{C. Landi}, J. Pure Appl. Algebra 227, No. 7, Article ID 107319, 26 p. (2023; Zbl 07663835) Full Text: DOI arXiv
Liu, Chuan; Lin, Fucai Hyperspaces with a countable character of closed subsets. (English) Zbl 1515.54010 Topology Appl. 328, Article ID 108461, 14 p. (2023). Reviewer: Jiling Cao (Auckland) MSC: 54B20 54D99 54E20 PDF BibTeX XML Cite \textit{C. Liu} and \textit{F. Lin}, Topology Appl. 328, Article ID 108461, 14 p. (2023; Zbl 1515.54010) Full Text: DOI arXiv
Bezhanishvili, G.; Harding, J.; Morandi, P. J. Remarks on hyperspaces for Priestley spaces. (English) Zbl 07638594 Theor. Comput. Sci. 943, 187-202 (2023). MSC: 03B45 06-XX PDF BibTeX XML Cite \textit{G. Bezhanishvili} et al., Theor. Comput. Sci. 943, 187--202 (2023; Zbl 07638594) Full Text: DOI arXiv
Fernández-Bayort, Tomás; Quintero, Antonio Describing the Vietoris topology of hyperspaces of finite spaces. (English) Zbl 07673595 Quest. Answers Gen. Topology 40, No. 1, 63-65 (2022). MSC: 06A07 54F05 54B20 54A10 PDF BibTeX XML Cite \textit{T. Fernández-Bayort} and \textit{A. Quintero}, Quest. Answers Gen. Topology 40, No. 1, 63--65 (2022; Zbl 07673595)
Adams, Henry; Coskunuzer, Baris Geometric approaches to persistent homology. (English) Zbl 07673260 SIAM J. Appl. Algebra Geom. 6, No. 4, 685-710 (2022). MSC: 55N31 55U10 57R19 62R40 PDF BibTeX XML Cite \textit{H. Adams} and \textit{B. Coskunuzer}, SIAM J. Appl. Algebra Geom. 6, No. 4, 685--710 (2022; Zbl 07673260) Full Text: DOI arXiv
Gutev, Valentin Hyperspace selections avoiding points. (English) Zbl 07655805 Commentat. Math. Univ. Carol. 63, No. 3, 351-364 (2022). MSC: 54B20 54C65 54D05 54D30 54F05 54F65 PDF BibTeX XML Cite \textit{V. Gutev}, Commentat. Math. Univ. Carol. 63, No. 3, 351--364 (2022; Zbl 07655805) Full Text: DOI arXiv
Ren, Shiquan; Wu, Jie; Zhang, Mengmeng The embedded homology of hypergraph pairs. (English) Zbl 1515.55010 J. Knot Theory Ramifications 31, No. 14, Article ID 2250103, 30 p. (2022). Reviewer: Massimo Ferri (Bologna) MSC: 55U10 55U15 68P05 68P15 55N31 PDF BibTeX XML Cite \textit{S. Ren} et al., J. Knot Theory Ramifications 31, No. 14, Article ID 2250103, 30 p. (2022; Zbl 1515.55010) Full Text: DOI
Abad, Masoud Bahrami Seif; Sharifzadeh, Mehdi Causal isomorphism between globally hyperbolic spacetimes. (English) Zbl 07648446 Bull. Iran. Math. Soc. 48, No. 6, 3059-3075 (2022). MSC: 06B35 53C50 83C99 PDF BibTeX XML Cite \textit{M. B. S. Abad} and \textit{M. Sharifzadeh}, Bull. Iran. Math. Soc. 48, No. 6, 3059--3075 (2022; Zbl 07648446) Full Text: DOI
Arici, Francesca; D’Andrea, Francesco; Hajac, Piotr M.; Tobolski, Mariusz An equivariant pullback structure of trimmable graph \(C^{\ast}\)-algebras. (English) Zbl 1515.46047 J. Noncommut. Geom. 16, No. 3, 761-785 (2022). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L85 46L80 PDF BibTeX XML Cite \textit{F. Arici} et al., J. Noncommut. Geom. 16, No. 3, 761--785 (2022; Zbl 1515.46047) Full Text: DOI
Goubault-Larrecq, Jean Kantorovich-Rubinstein quasi-metrics. III: Spaces of sublinear and superlinear previsions. (English) Zbl 1508.54017 Topology Appl. 321, Article ID 108259, 21 p. (2022). Reviewer: James Peters (Winnipeg) MSC: 54E99 54H30 PDF BibTeX XML Cite \textit{J. Goubault-Larrecq}, Topology Appl. 321, Article ID 108259, 21 p. (2022; Zbl 1508.54017) Full Text: DOI
Zaremsky, Matthew C. B. Bestvina-Brady discrete Morse theory and Vietoris-Rips complexes. (English) Zbl 1504.57043 Am. J. Math. 144, No. 5, 1177-1200 (2022). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 57Q70 55N31 20F65 PDF BibTeX XML Cite \textit{M. C. B. Zaremsky}, Am. J. Math. 144, No. 5, 1177--1200 (2022; Zbl 1504.57043) Full Text: DOI arXiv
Adams, Henry; Heim, Mark; Peterson, Chris Metric thickenings and group actions. (English) Zbl 1501.55016 J. Topol. Anal. 14, No. 3, 587-613 (2022). Reviewer: Matthew Zaremsky (Albany) MSC: 55U10 55P10 54E35 05E45 20F65 PDF BibTeX XML Cite \textit{H. Adams} et al., J. Topol. Anal. 14, No. 3, 587--613 (2022; Zbl 1501.55016) Full Text: DOI arXiv
Holá, Ľubica; Mirmostafaee, Alireza Kamel On continuity of set-valued mappings. (English) Zbl 1502.54007 Topology Appl. 320, Article ID 108200, 11 p. (2022). Reviewer: Petr Holický (Praha) MSC: 54C60 54C08 54C05 54B20 PDF BibTeX XML Cite \textit{Ľ. Holá} and \textit{A. K. Mirmostafaee}, Topology Appl. 320, Article ID 108200, 11 p. (2022; Zbl 1502.54007) Full Text: DOI
Banakh, Taras; Bonnet, Robert; Kubiś, Wiesław Vietoris hyperspaces over scattered Priestley spaces. (English) Zbl 1508.06008 Isr. J. Math. 249, No. 1, 37-81 (2022). Reviewer: Paul Bankston (Milwaukee) MSC: 06E05 06D05 22A26 54B20 54G12 PDF BibTeX XML Cite \textit{T. Banakh} et al., Isr. J. Math. 249, No. 1, 37--81 (2022; Zbl 1508.06008) Full Text: DOI arXiv
Schenck, Hal Algebraic foundations for applied topology and data analysis. (English) Zbl 07566649 Mathematics of Data 1. Cham: Springer (ISBN 978-3-031-06663-4/hbk; 978-3-031-06666-5/pbk; 978-3-031-06664-1/ebook). xii, 224 p. (2022). Reviewer: Bastian Rieck (Bern) MSC: 55-01 15-01 18-01 13-01 55N31 62R40 15Axx 18G35 13Pxx 94A16 PDF BibTeX XML Cite \textit{H. Schenck}, Algebraic foundations for applied topology and data analysis. Cham: Springer (2022; Zbl 07566649) Full Text: DOI
Nykyforchyn, Oleh; Savchyn, Mariia Metrization of idempotent convex compacta. (English) Zbl 1493.52003 J. Convex Anal. 29, No. 3, 717-730 (2022). MSC: 52A01 52A30 15A80 46S99 PDF BibTeX XML Cite \textit{O. Nykyforchyn} and \textit{M. Savchyn}, J. Convex Anal. 29, No. 3, 717--730 (2022; Zbl 1493.52003) Full Text: Link
Zaragoza, Alfredo Hyperspaces of dimension 1. (English) Zbl 1498.54030 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 48, 6 p. (2022). Reviewer: Athanasios Megaritis (Lamia) MSC: 54F65 54F50 54F45 54A10 54B20 54H05 PDF BibTeX XML Cite \textit{A. Zaragoza}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 48, 6 p. (2022; Zbl 1498.54030) Full Text: DOI arXiv
Adamaszek, Michał; Adams, Henry On Vietoris-Rips complexes of hypercube graphs. (English) Zbl 1490.05279 J. Appl. Comput. Topol. 6, No. 2, 177-192 (2022). MSC: 05E45 55P10 55U10 55N31 PDF BibTeX XML Cite \textit{M. Adamaszek} and \textit{H. Adams}, J. Appl. Comput. Topol. 6, No. 2, 177--192 (2022; Zbl 1490.05279) Full Text: DOI arXiv
Espinoza, Jesús F.; Frías-Armenta, Martín-Eduardo; Hernández-Hernández, Héctor A. Collapsibility and homological properties of \(\mathfrak{I}\)-contractible transformations. (English) Zbl 1489.05163 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 42, 19 p. (2022). MSC: 05E45 05C25 05C85 55U05 55U15 PDF BibTeX XML Cite \textit{J. F. Espinoza} et al., Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 42, 19 p. (2022; Zbl 1489.05163) Full Text: DOI arXiv
McLennan, Andrew A geometric Vietoris-Begle theorem, with an application to convex subsets of topological vector lattices. (English) Zbl 1489.55005 Topology Appl. 312, Article ID 108086, 9 p. (2022). Reviewer: Takahisa Miyata (Kobe) MSC: 55P10 46A40 54C55 55M15 PDF BibTeX XML Cite \textit{A. McLennan}, Topology Appl. 312, Article ID 108086, 9 p. (2022; Zbl 1489.55005) Full Text: DOI arXiv
Lyu, Zhenchao; Chen, Yu; Jia, Xiaodong Core-compactness, consonance and the Smyth powerspaces. (English) Zbl 07514738 Topology Appl. 312, Article ID 108066, 9 p. (2022). MSC: 54B20 06B35 06F30 PDF BibTeX XML Cite \textit{Z. Lyu} et al., Topology Appl. 312, Article ID 108066, 9 p. (2022; Zbl 07514738) Full Text: DOI
Krupski, Mikołaj Games and hereditary Baireness in hyperspaces and spaces of probability measures. (English) Zbl 1498.54016 J. Inst. Math. Jussieu 21, No. 3, 851-868 (2022). Reviewer: Vladimir Tkachuk (Ciudad de México) MSC: 54B20 54E52 60B05 91A44 54D40 54D20 54D80 PDF BibTeX XML Cite \textit{M. Krupski}, J. Inst. Math. Jussieu 21, No. 3, 851--868 (2022; Zbl 1498.54016) Full Text: DOI arXiv
Donjuán, Victor; Jonard-Pérez, Natalia; López-Poo, Ananda Some notes on induced functions and group actions on hyperspaces. (English) Zbl 1497.54016 Topology Appl. 311, Article ID 107954, 18 p. (2022). Reviewer: Jesús F. Tenorio (Huajuapan de Léon) MSC: 54B20 54C05 54C35 54H15 57S05 PDF BibTeX XML Cite \textit{V. Donjuán} et al., Topology Appl. 311, Article ID 107954, 18 p. (2022; Zbl 1497.54016) Full Text: DOI arXiv
Caruvana, Christopher; Holshouser, Jared Selection games and the Vietoris space. (English) Zbl 1487.54036 Topology Appl. 307, Article ID 107772, 21 p. (2022). Reviewer: Jesús F. Tenorio (Huajuapan de Léon) MSC: 54D20 54D80 54B20 PDF BibTeX XML Cite \textit{C. Caruvana} and \textit{J. Holshouser}, Topology Appl. 307, Article ID 107772, 21 p. (2022; Zbl 1487.54036) Full Text: DOI arXiv
Goubault-Larrecq, Jean Kantorovich-Rubinstein quasi-metrics. II: Hyperspaces and powerdomains. (English) Zbl 1478.54020 Topology Appl. 305, Article ID 107885, 38 p. (2022). Reviewer: James Peters (Winnipeg) MSC: 54E99 54H30 PDF BibTeX XML Cite \textit{J. Goubault-Larrecq}, Topology Appl. 305, Article ID 107885, 38 p. (2022; Zbl 1478.54020) Full Text: DOI Link
Guzmán, O.; Hrušák, M.; Rodrigues, V. O.; Todorčević, S.; Tomita, A. H. Maximal almost disjoint families and pseudocompactness of hyperspaces. (English) Zbl 1484.54022 Topology Appl. 305, Article ID 107872, 24 p. (2022). Reviewer: David J. Fernández-Bretón (Ciudad de México) MSC: 54D20 03E35 54D35 03E17 54A35 54B20 PDF BibTeX XML Cite \textit{O. Guzmán} et al., Topology Appl. 305, Article ID 107872, 24 p. (2022; Zbl 1484.54022) Full Text: DOI arXiv
Grandis, Marco Algebraic topology. A structural introduction. (English) Zbl 1493.55001 Singapore: World Scientific (ISBN 978-981-12-4835-1/hbk; 978-981-12-4837-5/ebook). x, 361 p. (2022). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55-01 PDF BibTeX XML Cite \textit{M. Grandis}, Algebraic topology. A structural introduction. Singapore: World Scientific (2022; Zbl 1493.55001) Full Text: DOI
Casas-De La Rosa, Javier; Martínez-Ruiz, Iván; Ramírez-Páramo, Alejandro Star versions of the Menger property on hyperspaces. (English) Zbl 1516.54003 Houston J. Math. 47, No. 4, 945-956 (2021). Reviewer: Alejandro Illanes (Ciudad de México) MSC: 54A25 54B20 54D20 PDF BibTeX XML Cite \textit{J. Casas-De La Rosa} et al., Houston J. Math. 47, No. 4, 945--956 (2021; Zbl 1516.54003) Full Text: Link
Lin, Fucai; Shen, Rongxin; Liu, Chuan Generalized metric properties on hyperspaces with the Vietoris topology. (English) Zbl 1501.54009 Rocky Mt. J. Math. 51, No. 5, 1761-1779 (2021). Reviewer: Laszlo Zsilinszky (Pembroke) MSC: 54B20 54D99 54E20 PDF BibTeX XML Cite \textit{F. Lin} et al., Rocky Mt. J. Math. 51, No. 5, 1761--1779 (2021; Zbl 1501.54009) Full Text: DOI arXiv Link
Popławski, Michał The Baire category of the hyperspace of nontrivial convergent sequences. (English) Zbl 1485.54014 Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 247-250 (2021). MSC: 54B20 54E52 54D55 PDF BibTeX XML Cite \textit{M. Popławski}, in: Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24--27, 2021. Warsaw: De Gruyter/Sciendo. 247--250 (2021; Zbl 1485.54014) Full Text: DOI arXiv
Adams, Henry; Bush, Johnathan; Mirth, Joshua Operations on metric thickenings. (English) Zbl 1487.55006 Spivak, David I. (ed.) et al., Proceedings of the 3rd annual international applied category theory conference 2020, ACT 2020, Cambridge, USA, July 6–10, 2020. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 333, 261-275 (2021). Reviewer: Ziga Virk (Ljubljana) MSC: 55N31 54E35 55P10 55U10 05E45 18F99 PDF BibTeX XML Cite \textit{H. Adams} et al., Electron. Proc. Theor. Comput. Sci. (EPTCS) 333, 261--275 (2021; Zbl 1487.55006) Full Text: arXiv Link
Chachólski, Wojciech; Jin, Alvin; Scolamiero, Martina; Tombari, Francesca Homotopical decompositions of simplicial and Vietoris Rips complexes. (English) Zbl 1485.55007 J. Appl. Comput. Topol. 5, No. 2, 215-248 (2021). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 55U10 62R40 PDF BibTeX XML Cite \textit{W. Chachólski} et al., J. Appl. Comput. Topol. 5, No. 2, 215--248 (2021; Zbl 1485.55007) Full Text: DOI arXiv
Bauer, Ulrich Ripser: efficient computation of Vietoris-Rips persistence barcodes. (English) Zbl 1476.55012 J. Appl. Comput. Topol. 5, No. 3, 391-423 (2021). MSC: 55N31 55-04 PDF BibTeX XML Cite \textit{U. Bauer}, J. Appl. Comput. Topol. 5, No. 3, 391--423 (2021; Zbl 1476.55012) Full Text: DOI arXiv
Kazeem, Eniola A list of open problems for the subgroup commutativity degree of groups. (English) Zbl 07410243 Topol. Proc. 57, 225-239 (2021). MSC: 20P05 22A05 PDF BibTeX XML Cite \textit{E. Kazeem}, Topol. Proc. 57, 225--239 (2021; Zbl 07410243) Full Text: Link
García-Ferreira, S.; Rojas-Hernández, R.; Ortiz-Castillo, Y. F. The Baire property on the hyperspace of nontrivial convergent sequences. (English) Zbl 1480.54013 Topology Appl. 301, Article ID 107505, 11 p. (2021). Reviewer: Takamitsu Yamauchi (Matsuyama) MSC: 54B20 54E52 54F65 54G12 PDF BibTeX XML Cite \textit{S. García-Ferreira} et al., Topology Appl. 301, Article ID 107505, 11 p. (2021; Zbl 1480.54013) Full Text: DOI
Imamura, Takuma Relationship among various Vietoris-type and microsimplicial homology theories. (English) Zbl 07396179 Arch. Math., Brno 57, No. 3, 131-150 (2021). MSC: 55N05 55N35 54J05 PDF BibTeX XML Cite \textit{T. Imamura}, Arch. Math., Brno 57, No. 3, 131--150 (2021; Zbl 07396179) Full Text: DOI arXiv
Gupta, Lipsy; Kundu, S. Cofinal completeness vis-á-vis hyperspaces. (English) Zbl 1479.54028 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 82, 18 p. (2021). Reviewer: Takamitsu Yamauchi (Matsuyama) MSC: 54B20 54C05 54C35 26A15 54E50 54A10 PDF BibTeX XML Cite \textit{L. Gupta} and \textit{S. Kundu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 82, 18 p. (2021; Zbl 1479.54028) Full Text: DOI
Caruvana, Christopher; Holshouser, Jared Selection games on hyperspaces. (English) Zbl 1475.54010 Topology Appl. 300, Article ID 107771, 27 p. (2021). Reviewer: Zuquan Li (Hangzhou) MSC: 54D20 54D80 54B20 91A44 PDF BibTeX XML Cite \textit{C. Caruvana} and \textit{J. Holshouser}, Topology Appl. 300, Article ID 107771, 27 p. (2021; Zbl 1475.54010) Full Text: DOI arXiv
Kombarov, A. P. On paranormality in hyperspaces. (English. Russian original) Zbl 1468.54014 Math. Notes 109, No. 5, 832-835 (2021); translation from Mat. Zametki 109, No. 5, 793-796 (2021). MSC: 54B20 54D20 PDF BibTeX XML Cite \textit{A. P. Kombarov}, Math. Notes 109, No. 5, 832--835 (2021; Zbl 1468.54014); translation from Mat. Zametki 109, No. 5, 793--796 (2021) Full Text: DOI
Bray, Clark; Butscher, Adrian; Rubinstein-Salzedo, Simon Algebraic topology. (English) Zbl 1481.55001 Cham: Springer (ISBN 978-3-030-70607-4/hbk; 978-3-030-70608-1/ebook). xiv, 209 p. (2021). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55-01 57-01 PDF BibTeX XML Cite \textit{C. Bray} et al., Algebraic topology. Cham: Springer (2021; Zbl 1481.55001) Full Text: DOI
Willett, Rufus Approximate ideal structures and \(K\)-theory. (English) Zbl 1467.46071 New York J. Math. 27, 1-52 (2021). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 46L85 PDF BibTeX XML Cite \textit{R. Willett}, New York J. Math. 27, 1--52 (2021; Zbl 1467.46071) Full Text: arXiv Link
Xu, Xiaoquan K-reflections of product spaces. (English) Zbl 1458.54024 Topology Appl. 289, Article ID 107571, 14 p. (2021). Reviewer: Sergejs Solovjovs (Praha) MSC: 54F05 06B23 18B99 54B30 54D10 PDF BibTeX XML Cite \textit{X. Xu}, Topology Appl. 289, Article ID 107571, 14 p. (2021; Zbl 1458.54024) Full Text: DOI
Díaz-Reyes, Jesús; Ramírez-Páramo, Alejandro; Tenorio, Jesús F. Rothberger and Rothberger-type star selection principles on hyperspaces. (English) Zbl 1460.54008 Topology Appl. 287, Article ID 107448, 10 p. (2021). Reviewer: Takamitsu Yamauchi (Matsuyama) MSC: 54B20 54D20 54A05 54A25 PDF BibTeX XML Cite \textit{J. Díaz-Reyes} et al., Topology Appl. 287, Article ID 107448, 10 p. (2021; Zbl 1460.54008) Full Text: DOI
Hofmann, Dirk; Nora, Pedro Hausdorff coalgebras. (English) Zbl 1464.18009 Appl. Categ. Struct. 28, No. 5, 773-806 (2020). Reviewer: Ahmet A. Khusainov (Komsomolsk-om-Amur) MSC: 18D20 18B35 18C20 54B30 18C15 54E99 68Q55 PDF BibTeX XML Cite \textit{D. Hofmann} and \textit{P. Nora}, Appl. Categ. Struct. 28, No. 5, 773--806 (2020; Zbl 1464.18009) Full Text: DOI arXiv
Carlsson, Gunnar Persistent homology and applied homotopy theory. (English) Zbl 1476.55014 Miller, Haynes (ed.), Handbook of homotopy theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 297-330 (2020). MSC: 55N31 62R40 68T09 55-02 PDF BibTeX XML Cite \textit{G. Carlsson}, in: Handbook of homotopy theory. Boca Raton, FL: CRC Press. 297--330 (2020; Zbl 1476.55014) Full Text: DOI arXiv
Casas-de la Rosa, Javier; Martínez-Ruiz, Iván; Ramírez-Páramo, Alejandro Star versions of the Rothberger property on hyperspaces. (English) Zbl 1460.54007 Topology Appl. 283, Article ID 107396, 12 p. (2020). Reviewer: Ljubiša D. Kočinac (Niš) MSC: 54B20 54A25 54D20 PDF BibTeX XML Cite \textit{J. Casas-de la Rosa} et al., Topology Appl. 283, Article ID 107396, 12 p. (2020; Zbl 1460.54007) Full Text: DOI
Adamaszek, Michał; Adams, Henry; Gasparovic, Ellen; Gommel, Maria; Purvine, Emilie; Sazdanovic, Radmila; Wang, Bei; Wang, Yusu; Ziegelmeier, Lori On homotopy types of Vietoris-Rips complexes of metric gluings. (English) Zbl 1455.55005 J. Appl. Comput. Topol. 4, No. 3, 425-454 (2020). Reviewer: Yuichi Ike (Kawasaki) MSC: 55N31 55U10 68T09 55P15 05E45 PDF BibTeX XML Cite \textit{M. Adamaszek} et al., J. Appl. Comput. Topol. 4, No. 3, 425--454 (2020; Zbl 1455.55005) Full Text: DOI arXiv
Grygierek, Jens Poisson and Gaussian fluctuations for the components of the \(\mathbf{f}\)-vector of high-dimensional random simplicial complexes. (English) Zbl 1453.60014 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 675-709 (2020). MSC: 60D05 60F05 55U10 PDF BibTeX XML Cite \textit{J. Grygierek}, ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 675--709 (2020; Zbl 1453.60014) Full Text: arXiv Link
Holá, Ľubica; Novotný, Branislav Topological properties of the space of convex minimal usco maps. (English) Zbl 1444.54009 Set-Valued Var. Anal. 28, No. 2, 287-300 (2020). Reviewer: Dimitrios Georgiou (Patras) MSC: 54C35 54C60 54C30 91A44 PDF BibTeX XML Cite \textit{Ľ. Holá} and \textit{B. Novotný}, Set-Valued Var. Anal. 28, No. 2, 287--300 (2020; Zbl 1444.54009) Full Text: DOI arXiv
Adams, Henry; Bush, Johnathan; Frick, Florian Metric thickenings, Borsuk-Ulam theorems, and orbitopes. (English) Zbl 1443.05188 Mathematika 66, No. 1, 79-102 (2020). Reviewer: Bożena Piątek (Gliwice) MSC: 05E45 52B15 54E35 55P10 55U10 PDF BibTeX XML Cite \textit{H. Adams} et al., Mathematika 66, No. 1, 79--102 (2020; Zbl 1443.05188) Full Text: DOI arXiv
Hammarsten, Carl; Helmreich, Rae; Krishnan, Anchala; Meier, John; Schmitz, Nathan Persistent homology and random models of the Gaussian primes. (English) Zbl 1439.11239 Topol. Proc. 56, 1-24 (2020). MSC: 11N05 55N35 55N31 PDF BibTeX XML Cite \textit{C. Hammarsten} et al., Topol. Proc. 56, 1--24 (2020; Zbl 1439.11239)
Saran, Maya \(G_\delta\) sets in \(\sigma\)-ideals generated by compact sets. (English) Zbl 1451.03026 J. Symb. Log. 84, No. 2, 781-797 (2019). Reviewer: K. P. Hart (Delft) MSC: 03E15 28A05 54H05 PDF BibTeX XML Cite \textit{M. Saran}, J. Symb. Log. 84, No. 2, 781--797 (2019; Zbl 1451.03026) Full Text: DOI arXiv
Adamaszek, Michał; Adams, Henry; Reddy, Samadwara On Vietoris-Rips complexes of ellipses. (English) Zbl 1426.05182 J. Topol. Anal. 11, No. 3, 661-690 (2019). MSC: 05E45 55U10 68R05 55N35 PDF BibTeX XML Cite \textit{M. Adamaszek} et al., J. Topol. Anal. 11, No. 3, 661--690 (2019; Zbl 1426.05182) Full Text: DOI arXiv
Gavriluţ, Alina; Mercheş, Ioan; Agop, Maricel Atomicity through fractal measure theory. Mathematical and physical fundamentals with applications. (English) Zbl 1445.81004 Cham: Springer (ISBN 978-3-030-29592-9/hbk; 978-3-030-29593-6/ebook). xiii, 184 p. (2019). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 81-02 28B20 28E05 28A80 32A12 81Q35 81P15 28C20 PDF BibTeX XML Cite \textit{A. Gavriluţ} et al., Atomicity through fractal measure theory. Mathematical and physical fundamentals with applications. Cham: Springer (2019; Zbl 1445.81004) Full Text: DOI
de Brecht, Matthew; Kawai, Tatsuji On the commutativity of the powerspace constructions. (English) Zbl 07093560 Log. Methods Comput. Sci. 15, No. 3, Paper No. 13, 25 p. (2019). MSC: 06D22 03E15 06B35 54H05 PDF BibTeX XML Cite \textit{M. de Brecht} and \textit{T. Kawai}, Log. Methods Comput. Sci. 15, No. 3, Paper No. 13, 25 p. (2019; Zbl 07093560) Full Text: arXiv
Bressan, Stephane; Li, Jingyan; Ren, Shiquan; Wu, Jie The embedded homology of hypergraphs and applications. (English) Zbl 1432.55032 Asian J. Math. 23, No. 3, 479-500 (2019). MSC: 55U10 55U15 68P05 68P15 55N31 05C65 PDF BibTeX XML Cite \textit{S. Bressan} et al., Asian J. Math. 23, No. 3, 479--500 (2019; Zbl 1432.55032) Full Text: DOI arXiv
Tachtsis, Eleftherios On ultracompact spaces in ZF. (English) Zbl 07081138 Topology Appl. 263, 257-278 (2019). MSC: 03E25 03E35 54A35 PDF BibTeX XML Cite \textit{E. Tachtsis}, Topology Appl. 263, 257--278 (2019; Zbl 07081138) Full Text: DOI
Kazeem, Eniola Subgroup commutativity degree of profinite groups. (English) Zbl 1447.60013 Topology Appl. 263, 1-15 (2019). MSC: 60B15 20P05 22A05 PDF BibTeX XML Cite \textit{E. Kazeem}, Topology Appl. 263, 1--15 (2019; Zbl 1447.60013) Full Text: DOI
Bell, Gregory; Lawson, Austin; Martin, Joshua; Rudzinski, James; Smyth, Clifford Weighted persistent homology. (English) Zbl 1423.55004 Involve 12, No. 5, 823-837 (2019). MSC: 55N35 55U99 68U10 PDF BibTeX XML Cite \textit{G. Bell} et al., Involve 12, No. 5, 823--837 (2019; Zbl 1423.55004) Full Text: DOI arXiv
Karlova, O.; Mykhailyuk, V. Upper and lower Lebesgue classes of multivalued functions of two variables. (English. Ukrainian original) Zbl 1467.54005 Ukr. Math. J. 70, No. 8, 1264-1274 (2019); translation from Ukr. Mat. Zh. 70, No. 8, 1097-1106 (2018). Reviewer: Włodzimierz Ślęzak (Bydgoszcz) MSC: 54C60 26E25 28B20 PDF BibTeX XML Cite \textit{O. Karlova} and \textit{V. Mykhailyuk}, Ukr. Math. J. 70, No. 8, 1264--1274 (2019; Zbl 1467.54005); translation from Ukr. Mat. Zh. 70, No. 8, 1097--1106 (2018) Full Text: DOI arXiv
Adams, Henry; Mirth, Joshua Metric thickenings of Euclidean submanifolds. (English) Zbl 1412.55009 Topology Appl. 254, 69-84 (2019). MSC: 55P10 55U10 53C23 54E35 PDF BibTeX XML Cite \textit{H. Adams} and \textit{J. Mirth}, Topology Appl. 254, 69--84 (2019; Zbl 1412.55009) Full Text: DOI arXiv
Jardón, Daniel Domination by countably compact spaces and hyperspaces. (English) Zbl 1408.54004 Topology Appl. 253, 38-47 (2019). Reviewer: Alejandro Illanes (México D.F.) MSC: 54D30 54B10 54B20 54C60 54D45 PDF BibTeX XML Cite \textit{D. Jardón}, Topology Appl. 253, 38--47 (2019; Zbl 1408.54004) Full Text: DOI
Gutev, Valentin Coarser compact topologies. (English) Zbl 1474.54054 Mat. Vesn. 70, No. 4, 350-363 (2018). MSC: 54B20 54C65 54D30 54F05 54A10 PDF BibTeX XML Cite \textit{V. Gutev}, Mat. Vesn. 70, No. 4, 350--363 (2018; Zbl 1474.54054) Full Text: arXiv Link Link
Adamaszek, Michał; Adams, Henry; Gasparovic, Ellen; Gommel, Maria; Purvine, Emilie; Sazdanovic, Radmila; Wang, Bei; Wang, Yusu; Ziegelmeier, Lori Vietoris-Rips and Čech complexes of metric gluings. (English) Zbl 1489.68330 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 3, 15 p. (2018). MSC: 68U03 55N31 PDF BibTeX XML Cite \textit{M. Adamaszek} et al., LIPIcs -- Leibniz Int. Proc. Inform. 99, Article 3, 15 p. (2018; Zbl 1489.68330) Full Text: DOI
Protasov, Igor V. Selective survey on spaces of closed subgroups of topological groups. (English) Zbl 1432.22003 Axioms 7, No. 4, Paper No. 75, 12 p. (2018). MSC: 22A05 22B05 54H11 PDF BibTeX XML Cite \textit{I. V. Protasov}, Axioms 7, No. 4, Paper No. 75, 12 p. (2018; Zbl 1432.22003) Full Text: DOI arXiv
Sadr, Maysam Maysami Vietoris topology on hyperspaces associated to a noncommutative compact space. (English) Zbl 1438.46064 Mathematica 60(83), No. 1, 72-82 (2018). MSC: 46L05 46L85 54B20 PDF BibTeX XML Cite \textit{M. M. Sadr}, Mathematica 60(83), No. 1, 72--82 (2018; Zbl 1438.46064) Full Text: DOI arXiv
Oliveira, Jose R. Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes. (English) Zbl 1422.58004 Commun. Korean Math. Soc. 33, No. 4, 1357-1366 (2018). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H05 55R10 57T99 PDF BibTeX XML Cite \textit{J. R. Oliveira}, Commun. Korean Math. Soc. 33, No. 4, 1357--1366 (2018; Zbl 1422.58004) Full Text: DOI arXiv
Ferger, Dietmar Weak convergence of probability measures to Choquet capacity functionals. (English) Zbl 1424.60001 Turk. J. Math. 42, No. 4, 1747-1764 (2018). MSC: 60B05 60B10 54B20 PDF BibTeX XML Cite \textit{D. Ferger}, Turk. J. Math. 42, No. 4, 1747--1764 (2018; Zbl 1424.60001) Full Text: DOI Link
Zhou, Yu; Zhang, Zihou; Liu, Chunyan On representation of isometric embeddings between Hausdorff metric spaces of compact convex subsets. (English) Zbl 1414.46014 Houston J. Math. 44, No. 3, 917-925 (2018). Reviewer: Tomasz Kania (Praha) MSC: 46B04 46B20 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Houston J. Math. 44, No. 3, 917--925 (2018; Zbl 1414.46014)
Adamaszek, Michał; Adams, Henry; Frick, Florian Metric reconstruction via optimal transport. (English) Zbl 1406.53045 SIAM J. Appl. Algebra Geom. 2, No. 4, 597-619 (2018). Reviewer: Ioan Pop (Iaşi) MSC: 53C23 54E35 55P10 55U10 PDF BibTeX XML Cite \textit{M. Adamaszek} et al., SIAM J. Appl. Algebra Geom. 2, No. 4, 597--619 (2018; Zbl 1406.53045) Full Text: DOI arXiv
Finocchiaro, Carmelo A.; Fontana, Marco; Spirito, Dario The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications. (English) Zbl 1444.54001 Rocky Mt. J. Math. 48, No. 5, 1551-1583 (2018). Reviewer: Othman Echi (Dhahran) MSC: 54A10 54F65 PDF BibTeX XML Cite \textit{C. A. Finocchiaro} et al., Rocky Mt. J. Math. 48, No. 5, 1551--1583 (2018; Zbl 1444.54001) Full Text: DOI arXiv Euclid
Govc, Dejan; Skraba, Primoz An approximate nerve theorem. (English) Zbl 1400.55003 Found. Comput. Math. 18, No. 5, 1245-1297 (2018). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55N99 55T99 PDF BibTeX XML Cite \textit{D. Govc} and \textit{P. Skraba}, Found. Comput. Math. 18, No. 5, 1245--1297 (2018; Zbl 1400.55003) Full Text: DOI arXiv
Gutev, Valentin Usco sections and Choquet-completeness. (English) Zbl 1400.54029 Fundam. Math. 242, No. 1, 93-102 (2018). Reviewer: Daniel Jardon (México D. F.) MSC: 54B20 54C60 54E50 91A44 PDF BibTeX XML Cite \textit{V. Gutev}, Fundam. Math. 242, No. 1, 93--102 (2018; Zbl 1400.54029) Full Text: DOI
García-Ferreira, S.; Rojas-Hernández, R.; Ortiz-Castillo, Y. F. Categorical properties on the hyperspace of nontrivial convergent sequences. (English) Zbl 1393.54011 Topol. Proc. 52, 265-279 (2018). Reviewer: Jan Borsik (Kosice) MSC: 54C99 54C15 54E20 PDF BibTeX XML Cite \textit{S. García-Ferreira} et al., Topol. Proc. 52, 265--279 (2018; Zbl 1393.54011) Full Text: arXiv
Chettih, Safia; Lütgehetmann, Daniel The homology of configuration spaces of trees with loops. (English) Zbl 1396.55012 Algebr. Geom. Topol. 18, No. 4, 2443-2469 (2018). Reviewer: He Wang (Reno) MSC: 55R80 57M15 PDF BibTeX XML Cite \textit{S. Chettih} and \textit{D. Lütgehetmann}, Algebr. Geom. Topol. 18, No. 4, 2443--2469 (2018; Zbl 1396.55012) Full Text: DOI arXiv
Hart, Joan E.; Kunen, Kenneth Ultra strong S-spaces. (English) Zbl 1392.54023 Topol. Proc. 51, 87-132 (2018). Reviewer: Fernando Hernández-Hernández (Morelia, Michoacan) MSC: 54D65 54B20 54D30 54D45 03E10 PDF BibTeX XML Cite \textit{J. E. Hart} and \textit{K. Kunen}, Topol. Proc. 51, 87--132 (2018; Zbl 1392.54023)
Motooka, Koichi; Shakhmatov, Dmitri; Yamauchi, Takamitsu The existence of continuous weak selections and orderability-type properties in products and filter spaces. (English) Zbl 1379.54017 Topology Appl. 232, 45-60 (2017). Reviewer: Włodzimierz Ślęzak (Bydgoszcz) MSC: 54C65 26E25 54B10 54B20 54F05 06A99 PDF BibTeX XML Cite \textit{K. Motooka} et al., Topology Appl. 232, 45--60 (2017; Zbl 1379.54017) Full Text: DOI arXiv
Buhagiar, David; Gutev, Valentin Selections and deleted symmetric products. (English) Zbl 1383.54016 Tsukuba J. Math. 41, No. 1, 1-20 (2017). Reviewer: Takamitsu Yamauchi (Matsuyama) MSC: 54B20 54C60 54C65 54D05 54F05 PDF BibTeX XML Cite \textit{D. Buhagiar} and \textit{V. Gutev}, Tsukuba J. Math. 41, No. 1, 1--20 (2017; Zbl 1383.54016) Full Text: DOI Euclid
Adamaszek, Michał; Frick, Florian; Vakili, Adrien On homotopy types of Euclidean Rips complexes. (English) Zbl 1376.05169 Discrete Comput. Geom. 58, No. 3, 526-542 (2017). Reviewer: Nela Milošević (Podgorica) MSC: 05E45 55U10 52C99 PDF BibTeX XML Cite \textit{M. Adamaszek} et al., Discrete Comput. Geom. 58, No. 3, 526--542 (2017; Zbl 1376.05169) Full Text: DOI arXiv
Gutev, Valentin Scattered spaces and selections. (English) Zbl 1380.54014 Topology Appl. 231, 306-315 (2017). Reviewer: Tom Vroegrijk (Hasselt) MSC: 54B20 54C65 54F05 54F65 54G12 PDF BibTeX XML Cite \textit{V. Gutev}, Topology Appl. 231, 306--315 (2017; Zbl 1380.54014) Full Text: DOI
Iiyori, Nobuo; Sawabe, Masato Partially ordered sets of non-trivial nilpotent \(\pi\)-subgroups. II. (English) Zbl 1380.20025 Topology Appl. 231, 197-218 (2017). Reviewer: János Kurdics (Nyíregyháza) MSC: 20D30 20E15 20D15 55U10 20J05 PDF BibTeX XML Cite \textit{N. Iiyori} and \textit{M. Sawabe}, Topology Appl. 231, 197--218 (2017; Zbl 1380.20025) Full Text: DOI
Zhang, Zhongxi; Li, Qingguo A direct characterization of the monotone convergence space completion. (English) Zbl 1421.54008 Topology Appl. 230, 99-104 (2017). MSC: 54B20 54D35 54A20 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{Q. Li}, Topology Appl. 230, 99--104 (2017; Zbl 1421.54008) Full Text: DOI
He, Qingyu; Xu, Luoshan; Xi, Xiaoyong Consistent Smyth powerdomains of topological spaces and quasicontinuous domains. (English) Zbl 1421.54007 Topology Appl. 228, 327-340 (2017). MSC: 54B20 54F05 PDF BibTeX XML Cite \textit{Q. He} et al., Topology Appl. 228, 327--340 (2017; Zbl 1421.54007) Full Text: DOI
Adamaszek, Michał; Adams, Henry The Vietoris-Rips complexes of a circle. (English) Zbl 1366.05124 Pac. J. Math. 290, No. 1, 1-40 (2017). MSC: 05E45 55U10 PDF BibTeX XML Cite \textit{M. Adamaszek} and \textit{H. Adams}, Pac. J. Math. 290, No. 1, 1--40 (2017; Zbl 1366.05124) Full Text: DOI arXiv
Bradley, Patrick Erik Finding ultrametricity in data using topology. (English) Zbl 1364.62147 J. Classif. 34, No. 1, 76-84 (2017). MSC: 62H30 62N05 PDF BibTeX XML Cite \textit{P. E. Bradley}, J. Classif. 34, No. 1, 76--84 (2017; Zbl 1364.62147) Full Text: DOI
Gutev, Valentin Finite-valued multiselections. (English) Zbl 1365.54012 Topology Appl. 225, 46-52 (2017). Reviewer: Zuquan Li (Hangzhou) MSC: 54B20 54C65 54F05 PDF BibTeX XML Cite \textit{V. Gutev}, Topology Appl. 225, 46--52 (2017; Zbl 1365.54012) Full Text: DOI
Resende, Pedro; Santos, João Paulo Open quotients of trivial vector bundles. (English) Zbl 1380.46056 Topology Appl. 224, 19-47 (2017). MSC: 46M20 46A99 54B20 55R65 PDF BibTeX XML Cite \textit{P. Resende} and \textit{J. P. Santos}, Topology Appl. 224, 19--47 (2017; Zbl 1380.46056) Full Text: DOI arXiv
Bell, Kathleen; Richmond, Tom Transitions between 4-intersection values of planar regions. (English) Zbl 1370.68294 Appl. Gen. Topol. 18, No. 1, 183-202 (2017). MSC: 68U05 54C60 PDF BibTeX XML Cite \textit{K. Bell} and \textit{T. Richmond}, Appl. Gen. Topol. 18, No. 1, 183--202 (2017; Zbl 1370.68294) Full Text: DOI