Douteau, Sylvain A simplicial approach to stratified homotopy theory. (English) Zbl 07291889 Trans. Am. Math. Soc. 374, No. 2, 955-1006 (2021). MSC: 55U35 57N80 18G30 18G55 PDF BibTeX XML Cite \textit{S. Douteau}, Trans. Am. Math. Soc. 374, No. 2, 955--1006 (2021; Zbl 07291889) Full Text: DOI
Hess, Kathryn; Shipley, Brooke Invariance properties of coHochschild homology. (English) Zbl 07241711 J. Pure Appl. Algebra 225, No. 2, Article ID 106505, 26 p. (2021). MSC: 19D55 16T15 16E40 55U35 55P43 PDF BibTeX XML Cite \textit{K. Hess} and \textit{B. Shipley}, J. Pure Appl. Algebra 225, No. 2, Article ID 106505, 26 p. (2021; Zbl 07241711) Full Text: DOI
Barthel, Tobias; Castellana, Natàlia; Heard, Drew; Valenzuela, Gabriel Local Gorenstein duality for cochains on spaces. (English) Zbl 07241702 J. Pure Appl. Algebra 225, No. 2, Article ID 106495, 23 p. (2021). Reviewer: Niles Johnson (Newark) MSC: 55U30 55R35 13H10 13D45 PDF BibTeX XML Cite \textit{T. Barthel} et al., J. Pure Appl. Algebra 225, No. 2, Article ID 106495, 23 p. (2021; Zbl 07241702) Full Text: DOI
Ozornova, Viktoriya; Rovelli, Martina The Duskin nerve of 2-categories in Joyal’s cell category \(\Theta_2\). (English) Zbl 1442.18047 J. Pure Appl. Algebra 225, No. 1, Article ID 106462, 16 p. (2021). Reviewer: Marek Golasiński (Olsztyn) MSC: 18N10 18N50 55U35 55U10 PDF BibTeX XML Cite \textit{V. Ozornova} and \textit{M. Rovelli}, J. Pure Appl. Algebra 225, No. 1, Article ID 106462, 16 p. (2021; Zbl 1442.18047) Full Text: DOI
Emmenegger, Jacopo The fullness axiom and exact completion of homotopy categories. (English. French summary) Zbl 07287128 Cah. Topol. Géom. Différ. Catég. 61, No. 4, 427-449 (2020). MSC: 18D15 18A35 18E08 55U35 18B15 18A15 18F60 PDF BibTeX XML Cite \textit{J. Emmenegger}, Cah. Topol. Géom. Différ. Catég. 61, No. 4, 427--449 (2020; Zbl 07287128) Full Text: Link
Garcia, Matthew; Igusa, Kiyoshi Continuously triangulating the continuous cluster category. (English) Zbl 07286637 Topology Appl. 285, Article ID 107411, 48 p. (2020). MSC: 18G80 18N 55U40 16G20 PDF BibTeX XML Cite \textit{M. Garcia} and \textit{K. Igusa}, Topology Appl. 285, Article ID 107411, 48 p. (2020; Zbl 07286637) Full Text: DOI
Asao, Yasuhiko; Izumihara, Kengo Geometric approach to graph magnitude homology. (English) Zbl 07283643 Homology Homotopy Appl. 23, No. 1, 297-310 (2020). MSC: 55U05 PDF BibTeX XML Cite \textit{Y. Asao} and \textit{K. Izumihara}, Homology Homotopy Appl. 23, No. 1, 297--310 (2020; Zbl 07283643) Full Text: DOI
Blanc, David; Ghosh, Surojit Mapping algebras and the Adams spectral sequence. (English) Zbl 07283639 Homology Homotopy Appl. 23, No. 1, 219-242 (2020). MSC: 55T15 55P42 55U35 PDF BibTeX XML Cite \textit{D. Blanc} and \textit{S. Ghosh}, Homology Homotopy Appl. 23, No. 1, 219--242 (2020; Zbl 07283639) Full Text: DOI
Baues, Hans-Joachim; Blanc, David; Chorny, Boris Truncated derived functors and spectral sequences. (English) Zbl 07283637 Homology Homotopy Appl. 23, No. 1, 159-189 (2020). MSC: 55T99 18C30 18G50 55U35 PDF BibTeX XML Cite \textit{H.-J. Baues} et al., Homology Homotopy Appl. 23, No. 1, 159--189 (2020; Zbl 07283637) Full Text: DOI
Pakdaman, Ali; Torabi, Hamid; Mashayekhy, Behrooz Category of \(H\)-groups. (English) Zbl 07276387 Casp. J. Math. Sci. 9, No. 1, 1-23 (2020). MSC: 55P45 55U40 PDF BibTeX XML Cite \textit{A. Pakdaman} et al., Casp. J. Math. Sci. 9, No. 1, 1--23 (2020; Zbl 07276387) Full Text: DOI
Bahiraei, Payam Cotorsion pairs and adjoint functors in the homotopy category of \(N\)-complexes. (English) Zbl 07272791 J. Algebra Appl. 19, No. 12, Article ID 2050236, 19 p. (2020). MSC: 18G80 18E10 55U35 18N40 PDF BibTeX XML Cite \textit{P. Bahiraei}, J. Algebra Appl. 19, No. 12, Article ID 2050236, 19 p. (2020; Zbl 07272791) Full Text: DOI
Wu, Chengyuan; Ren, Shiquan; Wu, Jie; Xia, Kelin Weighted fundamental group. (English) Zbl 07270607 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4065-4088 (2020). MSC: 57M05 55M99 55U10 57Q99 PDF BibTeX XML Cite \textit{C. Wu} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4065--4088 (2020; Zbl 07270607) Full Text: DOI
Ghazel, Moncef; Kallel, Sadok Thin loop groups. (English) Zbl 07270587 Eur. J. Math. 6, No. 3, 864-887 (2020). Reviewer: Kohhei Yamaguchi (Tokyo) MSC: 55P35 55U10 55P10 PDF BibTeX XML Cite \textit{M. Ghazel} and \textit{S. Kallel}, Eur. J. Math. 6, No. 3, 864--887 (2020; Zbl 07270587) 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 07270220 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 07270220) Full Text: DOI
Balmer, Paul Homological support of big objects in tensor-triangulated categories. (Support homologique des grands objets dans les catégories triangulées tensorielles.) (English. French summary) Zbl 07268428 J. Éc. Polytech., Math. 7, 1069-1088 (2020). MSC: 18D99 20J05 55U35 PDF BibTeX XML Cite \textit{P. Balmer}, J. Éc. Polytech., Math. 7, 1069--1088 (2020; Zbl 07268428) Full Text: DOI
Agustín Vicente, Marta; Fernandez de Bobadilla, Javier Intersection space constructible complexes. (English) Zbl 07267909 Doc. Math. 25, 1653-1725 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 32S60 14F08 14F45 55N33 55N30 55U30 PDF BibTeX XML Cite \textit{M. Agustín Vicente} and \textit{J. Fernandez de Bobadilla}, Doc. Math. 25, 1653--1725 (2020; Zbl 07267909) Full Text: DOI
Bergner, Julia E.; Rezk, Charles Comparison of models for \(( \infty , n )\)-categories, II. (English) Zbl 07262228 J. Topol. 13, No. 4, 1554-1581 (2020). MSC: 55U35 55U40 18D05 18D15 18D20 18G30 18G55 PDF BibTeX XML Cite \textit{J. E. Bergner} and \textit{C. Rezk}, J. Topol. 13, No. 4, 1554--1581 (2020; Zbl 07262228) Full Text: DOI
Grygierek, Jens Poisson and Gaussian fluctuations for the components of the \(\mathbf{f}\)-vector of high-dimensional random simplicial complexes. (English) Zbl 07261917 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 07261917) Full Text: Link
Margolis, Stuart; Rhodes, John; Silva, Pedro V. Truncated Boolean representable simplicial complexes. (English) Zbl 1448.05237 Int. J. Algebra Comput. 30, No. 7, 1399-1435 (2020). MSC: 05E45 05B35 52B40 14F35 55P15 55U10 PDF BibTeX XML Cite \textit{S. Margolis} et al., Int. J. Algebra Comput. 30, No. 7, 1399--1435 (2020; Zbl 1448.05237) Full Text: DOI
Kozlov, Dmitry N. Organized collapse. An introduction to discrete Morse theory. (English) Zbl 07258477 Graduate Studies in Mathematics 207. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5701-3/hbk; 978-1-4704-6008-2/ebook). xxiii, 312 p. (2020). Reviewer: Matthew Zaremsky (Albany) MSC: 57Q10 05C70 06A07 55U10 57-02 57Q05 58E05 PDF BibTeX XML Cite \textit{D. N. Kozlov}, Organized collapse. An introduction to discrete Morse theory. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07258477)
Huang, Ruizhi; Wu, Jie Combinatorics of double loop suspensions, evaluation maps and Cohen groups. (English) Zbl 07257213 J. Math. Soc. Japan 72, No. 3, 847-889 (2020). Reviewer: Kohhei Yamaguchi (Tokyo) MSC: 55P48 55P35 55P40 55Q05 55U10 PDF BibTeX XML Cite \textit{R. Huang} and \textit{J. Wu}, J. Math. Soc. Japan 72, No. 3, 847--889 (2020; Zbl 07257213) Full Text: DOI Euclid
Bentzen, Bruno What types should not be. (English) Zbl 07253687 Philos. Math. (3) 28, No. 1, 60-76 (2020). MSC: 03A05 03B38 55U35 PDF BibTeX XML Cite \textit{B. Bentzen}, Philos. Math. (3) 28, No. 1, 60--76 (2020; Zbl 07253687) Full Text: DOI
Knudson, Kevin P. Book review of: N. Scoville, Discrete Morse theory. (English) Zbl 1443.00004 Am. Math. Mon. 127, No. 8, 763-768 (2020). MSC: 00A17 58-01 58E05 55-01 55U05 55U10 57Q05 57Q10 PDF BibTeX XML Cite \textit{K. P. Knudson}, Am. Math. Mon. 127, No. 8, 763--768 (2020; Zbl 1443.00004) Full Text: DOI
Novik, Isabella; Swartz, Ed \(g\)-vectors of manifolds with boundary. (English) Zbl 07251038 Algebr. Comb. 3, No. 4, 887-911 (2020). MSC: 57Q15 05E45 05E40 13F55 52B05 55U10 PDF BibTeX XML Cite \textit{I. Novik} and \textit{E. Swartz}, Algebr. Comb. 3, No. 4, 887--911 (2020; Zbl 07251038) Full Text: DOI
Kapulkin, Chris; Lefanu Lumsdaine, Peter The law of excluded middle in the simplicial model of type theory. (English) Zbl 07250002 Theory Appl. Categ. 35, 1546-1548 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 03B15 55U10 18C50 PDF BibTeX XML Cite \textit{C. Kapulkin} and \textit{P. Lefanu Lumsdaine}, Theory Appl. Categ. 35, 1546--1548 (2020; Zbl 07250002) Full Text: Link
Manuel Clementino, Maria; López Franco, Ignacio Lax orthogonal factorisations in ordered structures. (English) Zbl 1446.18015 Theory Appl. Categ. 35, 1379-1423 (2020). Reviewer: Michel Hébert (Cairo) MSC: 18N10 18A32 55U35 PDF BibTeX XML Cite \textit{M. Manuel Clementino} and \textit{I. López Franco}, Theory Appl. Categ. 35, 1379--1423 (2020; Zbl 1446.18015) Full Text: Link
Iriye, Kouyemon; Kishimoto, Daisuke; Levi, Ran Characterisation of polyhedral products with finite generalised Postnikov decomposition. (English) Zbl 1448.55022 Forum Math. 32, No. 5, 1253-1269 (2020). Reviewer: Kohhei Yamaguchi (Tokyo) MSC: 55S45 55P15 20F36 55U10 PDF BibTeX XML Cite \textit{K. Iriye} et al., Forum Math. 32, No. 5, 1253--1269 (2020; Zbl 1448.55022) Full Text: DOI
Riehl, Emily; Verity, Dominic Recognizing quasi-categorical limits and colimits in homotopy coherent nerves. (English) Zbl 07246209 Appl. Categ. Struct. 28, No. 4, 669-716 (2020). MSC: 18A30 18G55 55U35 55U40 18A05 18G30 55U10 PDF BibTeX XML Cite \textit{E. Riehl} and \textit{D. Verity}, Appl. Categ. Struct. 28, No. 4, 669--716 (2020; Zbl 07246209) Full Text: DOI
Chudnovsky, Maria; Nevo, Eran Induced equators in flag spheres. (English) Zbl 1447.05245 J. Comb. Theory, Ser. A 176, Article ID 105283, 14 p. (2020). MSC: 05E45 55U10 52B05 PDF BibTeX XML Cite \textit{M. Chudnovsky} and \textit{E. Nevo}, J. Comb. Theory, Ser. A 176, Article ID 105283, 14 p. (2020; Zbl 1447.05245) Full Text: DOI
Harpaz, Yonatan Ambidexterity and the universality of finite spans. (English) Zbl 07242523 Proc. Lond. Math. Soc. (3) 121, No. 5, 1121-1170 (2020). MSC: 55P99 55U35 57R56 PDF BibTeX XML Cite \textit{Y. Harpaz}, Proc. Lond. Math. Soc. (3) 121, No. 5, 1121--1170 (2020; Zbl 07242523) Full Text: DOI
Gaucher, Philippe Flows revisited: the model category structure and its left determinedness. (English. French summary) Zbl 07238808 Cah. Topol. Géom. Différ. Catég. 61, No. 2, 208-226 (2020). Reviewer: Ahmet A. Khusainov (Komsomolsk-om-Amur) MSC: 18C35 55U35 68Q85 PDF BibTeX XML Cite \textit{P. Gaucher}, Cah. Topol. Géom. Différ. Catég. 61, No. 2, 208--226 (2020; Zbl 07238808) Full Text: Link
Helfer, Joseph Homotopies in Grothendieck fibrations. (English) Zbl 1442.18015 Theory Appl. Categ. 35, 1312-1378 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D30 55U35 PDF BibTeX XML Cite \textit{J. Helfer}, Theory Appl. Categ. 35, 1312--1378 (2020; Zbl 1442.18015) Full Text: Link
Riehl, Emily; Verity, Dominic On the construction of limits and colimits in \(\infty\)-categories. (English) Zbl 07229467 Theory Appl. Categ. 35, 1101-1158 (2020). Reviewer: Ross H. Street (Sydney) MSC: 18N60 18A30 55U35 55U40 PDF BibTeX XML Cite \textit{E. Riehl} and \textit{D. Verity}, Theory Appl. Categ. 35, 1101--1158 (2020; Zbl 07229467) Full Text: Link
Moerdijk, Ieke; Nuiten, Joost An extension of Quillen’s theorem B. (English) Zbl 1448.18017 Algebr. Geom. Topol. 20, No. 4, 1769-1794 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F20 55U35 55U10 PDF BibTeX XML Cite \textit{I. Moerdijk} and \textit{J. Nuiten}, Algebr. Geom. Topol. 20, No. 4, 1769--1794 (2020; Zbl 1448.18017) Full Text: DOI
Elmanto, Elden; Kolderup, Håkon On modules over motivic ring spectra. (English) Zbl 1440.14120 Ann. \(K\)-Theory 5, No. 2, 327-355 (2020). MSC: 14F40 14F42 19E15 55P42 55P43 55U35 PDF BibTeX XML Cite \textit{E. Elmanto} and \textit{H. Kolderup}, Ann. \(K\)-Theory 5, No. 2, 327--355 (2020; Zbl 1440.14120) Full Text: DOI
Estrada, Sergio; Iacob, Alina; Pérez, Marco A. Model structures and relative Gorenstein flat modules and chain complexes. (English) Zbl 1437.18009 Srivastava, Ashish K. (ed.) et al., Categorical, homological and combinatorial methods in algebra. AMS special session in honor of S. K. Jain’s 80th birthday, Ohio State University, Columbus, Ohio, March 16–18, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 751, 135-175 (2020). MSC: 18G35 18N50 13D30 16E65 55U15 PDF BibTeX XML Cite \textit{S. Estrada} et al., Contemp. Math. 751, 135--175 (2020; Zbl 1437.18009) Full Text: DOI
Owada, Takashi; Thomas, Andrew M. Limit theorems for process-level Betti numbers for sparse and critical regimes. (English) Zbl 07221649 Adv. Appl. Probab. 52, No. 1, 1-31 (2020). Reviewer: Andrew Wade (Durham) MSC: 60D05 55U10 60F05 05E45 PDF BibTeX XML Cite \textit{T. Owada} and \textit{A. M. Thomas}, Adv. Appl. Probab. 52, No. 1, 1--31 (2020; Zbl 07221649) Full Text: DOI
Brew, Lewis; Obeng-Denteh, William; Asante-Mensa, Fred Analytical consideration of growth in population via homological invariant in algebraic topology. (English) Zbl 1448.92179 J. Math. 2020, Article ID 4948304, 5 p. (2020). MSC: 92D25 55U10 PDF BibTeX XML Cite \textit{L. Brew} et al., J. Math. 2020, Article ID 4948304, 5 p. (2020; Zbl 1448.92179) Full Text: DOI
Gálvez-Carrillo, Imma; Kock, Joachim; Tonks, Andrew Corrigendum to: “Decomposition spaces, incidence algebras and Möbius inversion. II: Completeness, length filtration, and finiteness”. (English) Zbl 07219704 Adv. Math. 371, Article ID 107267, 5 p. (2020). MSC: 18G30 16T10 06A11 05A19 55U35 PDF BibTeX XML Cite \textit{I. Gálvez-Carrillo} et al., Adv. Math. 371, Article ID 107267, 5 p. (2020; Zbl 07219704) Full Text: DOI
Ozornova, Viktoriya; Rovelli, Martina The unit of the total décalage adjunction. (English) Zbl 1448.55024 J. Homotopy Relat. Struct. 15, No. 2, 333-349 (2020). Reviewer: Marek Golasiński (Olsztyn) MSC: 55U10 18G31 55P10 PDF BibTeX XML Cite \textit{V. Ozornova} and \textit{M. Rovelli}, J. Homotopy Relat. Struct. 15, No. 2, 333--349 (2020; Zbl 1448.55024) Full Text: DOI
Boyd, Rachael Homological stability for Artin monoids. (English) Zbl 07217619 Proc. Lond. Math. Soc. (3) 121, No. 3, 537-583 (2020). MSC: 57M07 20F36 20F55 55U10 20M32 PDF BibTeX XML Cite \textit{R. Boyd}, Proc. Lond. Math. Soc. (3) 121, No. 3, 537--583 (2020; Zbl 07217619) Full Text: DOI
Zheng, Hailun The upper bound theorem for flag homology 5-manifolds. (English) Zbl 1442.05258 J. Comb. Theory, Ser. A 175, Article ID 105259, 13 p. (2020). MSC: 05E45 55U10 57Q05 PDF BibTeX XML Cite \textit{H. Zheng}, J. Comb. Theory, Ser. A 175, Article ID 105259, 13 p. (2020; Zbl 1442.05258) Full Text: DOI
Nguyen, Hoang Kim; Raptis, George; Schrade, Christoph Adjoint functor theorems for \(\infty\)-categories. (English) Zbl 1448.18004 J. Lond. Math. Soc., II. Ser. 101, No. 2, 659-681 (2020). Reviewer: Philippe Gaucher (Paris) MSC: 18A40 55U35 55U40 18N40 PDF BibTeX XML Cite \textit{H. K. Nguyen} et al., J. Lond. Math. Soc., II. Ser. 101, No. 2, 659--681 (2020; Zbl 1448.18004) Full Text: DOI
Harpaz, Yonatan Lax limits of model categories. (English) Zbl 1440.18047 Theory Appl. Categ. 35, 959-978 (2020). Reviewer: Philippe Gaucher (Paris) MSC: 18N40 55U35 PDF BibTeX XML Cite \textit{Y. Harpaz}, Theory Appl. Categ. 35, 959--978 (2020; Zbl 1440.18047) Full Text: Link
Henry, Simon Weak model categories in classical and constructive mathematics. (English) Zbl 1445.55013 Theory Appl. Categ. 35, 875-958 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 55U35 55U40 18N40 18N50 18N65 03F65 PDF BibTeX XML Cite \textit{S. Henry}, Theory Appl. Categ. 35, 875--958 (2020; Zbl 1445.55013) Full Text: Link
Ara, Dimitri; Lucas, Maxime The folk model category structure on strict \(\omega\)-categories is monoidal. (English) Zbl 1443.18008 Theory Appl. Categ. 35, 745-808 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M05 18N30 18N40 55U35 PDF BibTeX XML Cite \textit{D. Ara} and \textit{M. Lucas}, Theory Appl. Categ. 35, 745--808 (2020; Zbl 1443.18008) Full Text: Link
Schrödl-Baumann, Michael \(\ell^2\)-Betti numbers of random rooted simplicial complexes. (English) Zbl 1448.55025 Manuscr. Math. 162, No. 3-4, 283-304 (2020). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 55U10 57M10 PDF BibTeX XML Cite \textit{M. Schrödl-Baumann}, Manuscr. Math. 162, No. 3--4, 283--304 (2020; Zbl 1448.55025) Full Text: DOI
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
Hernández Serrano, Daniel; Sánchez Gómez, Darío Centrality measures in simplicial complexes: applications of topological data analysis to network science. (English) Zbl 07208710 Appl. Math. Comput. 382, Article ID 125331, 20 p. (2020). MSC: 55U10 62R40 91D30 05C82 91C20 82B43 05E45 PDF BibTeX XML Cite \textit{D. Hernández Serrano} and \textit{D. Sánchez Gómez}, Appl. Math. Comput. 382, Article ID 125331, 20 p. (2020; Zbl 07208710) Full Text: DOI
Ozornova, Viktoriya; Rovelli, Martina Model structures for \(( \infty,n)\)-categories on (pre)stratified simplicial sets and prestratified simplicial spaces. (English) Zbl 1441.18032 Algebr. Geom. Topol. 20, No. 3, 1543-1600 (2020). Reviewer: Ian Coley (Piscataway) MSC: 18N65 55U10 PDF BibTeX XML Cite \textit{V. Ozornova} and \textit{M. Rovelli}, Algebr. Geom. Topol. 20, No. 3, 1543--1600 (2020; Zbl 1441.18032) Full Text: DOI
Rogers, Christopher An explicit model for the homotopy theory of finite-type Lie \(n\)-algebras. (English) Zbl 07207577 Algebr. Geom. Topol. 20, No. 3, 1371-1429 (2020). MSC: 17B55 18G55 55U35 55P62 PDF BibTeX XML Cite \textit{C. Rogers}, Algebr. Geom. Topol. 20, No. 3, 1371--1429 (2020; Zbl 07207577) Full Text: DOI
Rogers, Christopher; Zhu, Chenchang On the homotopy theory for Lie \(\infty\)-groupoids, with an application to integrating \(L_\infty\)-algebras. (English) Zbl 07207572 Algebr. Geom. Topol. 20, No. 3, 1127-1219 (2020). MSC: 17B55 18G30 22A22 55U35 PDF BibTeX XML Cite \textit{C. Rogers} and \textit{C. Zhu}, Algebr. Geom. Topol. 20, No. 3, 1127--1219 (2020; Zbl 07207572) Full Text: DOI
Schaub, Michael T.; Benson, Austin R.; Horn, Paul; Lippner, Gabor; Jadbabaie, Ali Random walks on simplicial complexes and the normalized Hodge 1-Laplacian. (English) Zbl 1441.05205 SIAM Rev. 62, No. 2, 353-391 (2020). MSC: 05C81 05C80 05C82 68R10 68P05 05E45 05C90 91D30 55U10 PDF BibTeX XML Cite \textit{M. T. Schaub} et al., SIAM Rev. 62, No. 2, 353--391 (2020; Zbl 1441.05205) Full Text: DOI
Berman, John D. Euler characteristics of finite homotopy colimits. (English) Zbl 1439.55003 Homology Homotopy Appl. 22, No. 2, 259-264 (2020). MSC: 55M99 55U10 PDF BibTeX XML Cite \textit{J. D. Berman}, Homology Homotopy Appl. 22, No. 2, 259--264 (2020; Zbl 1439.55003) Full Text: DOI
Ivanov, Sergei O.; Romanovskii, Vladislav; Semenov, Andrei A simple proof of Curtis’ connectivity theorem for Lie powers. (English) Zbl 1439.55015 Homology Homotopy Appl. 22, No. 2, 251-258 (2020). MSC: 55P99 55Q99 55U10 18N50 PDF BibTeX XML Cite \textit{S. O. Ivanov} et al., Homology Homotopy Appl. 22, No. 2, 251--258 (2020; Zbl 1439.55015) Full Text: DOI
Arkhipov, Sergey; Poliakova, Daria A note on a Holstein construction. (English) Zbl 07204886 Homology Homotopy Appl. 22, No. 2, 151-162 (2020). MSC: 18D20 55U35 PDF BibTeX XML Cite \textit{S. Arkhipov} and \textit{D. Poliakova}, Homology Homotopy Appl. 22, No. 2, 151--162 (2020; Zbl 07204886) Full Text: DOI
Medina-Mardones, Anibal M. An algebraic representation of globular sets. (English) Zbl 1440.55014 Homology Homotopy Appl. 22, No. 2, 135-150 (2020). Reviewer: Tobias Fritz (Innsbruck) MSC: 55U15 55U10 55S10 18G31 18N30 PDF BibTeX XML Cite \textit{A. M. Medina-Mardones}, Homology Homotopy Appl. 22, No. 2, 135--150 (2020; Zbl 1440.55014) Full Text: DOI
Calk, Cameron; Goubault, Eric; Malbos, Philippe Time-reversal homotopical properties of concurrent systems. (English) Zbl 1440.18009 Homology Homotopy Appl. 22, No. 2, 31-57 (2020). MSC: 18C40 55U99 68Q85 PDF BibTeX XML Cite \textit{C. Calk} et al., Homology Homotopy Appl. 22, No. 2, 31--57 (2020; Zbl 1440.18009) Full Text: DOI
Hadzihasanovic, Amar A combinatorial-topological shape category for polygraphs. (English) Zbl 07203743 Appl. Categ. Struct. 28, No. 3, 419-476 (2020). MSC: 18D05 52B22 55U10 PDF BibTeX XML Cite \textit{A. Hadzihasanovic}, Appl. Categ. Struct. 28, No. 3, 419--476 (2020; Zbl 07203743) Full Text: DOI
Patchkoria, Irakli; Roitzheim, Constanze Rigidity and exotic models for \(v_1\)-local \(G\)-equivariant stable homotopy theory. (English) Zbl 1441.55009 Math. Z. 295, No. 1-2, 839-875 (2020). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P42 55P91 55U35 PDF BibTeX XML Cite \textit{I. Patchkoria} and \textit{C. Roitzheim}, Math. Z. 295, No. 1--2, 839--875 (2020; Zbl 1441.55009) Full Text: DOI
Strobl, Thomas; Wagemann, Friedrich Enhanced Leibniz algebras: structure theorem and induced Lie 2-algebra. (English) Zbl 1442.17007 Commun. Math. Phys. 376, No. 1, 51-79 (2020). Reviewer: Marek Golasiński (Olsztyn) MSC: 17A32 17B60 55U99 PDF BibTeX XML Cite \textit{T. Strobl} and \textit{F. Wagemann}, Commun. Math. Phys. 376, No. 1, 51--79 (2020; Zbl 1442.17007) Full Text: DOI
Nguyen, Quyet Le Chi A functorial description of the Morava \(K\)-theories of elementary abelian 2-groups. (Une description fonctorielle des \(K\)-théories de Morava des 2-groupes abéliens élémentaires.) (French. English summary) Zbl 07202208 Bull. Soc. Math. Fr. 148, No. 1, 133-172 (2020). Reviewer: Geoffrey Powell (Angers) MSC: 55N20 55N22 55U99 PDF BibTeX XML Cite \textit{Q. Le C. Nguyen}, Bull. Soc. Math. Fr. 148, No. 1, 133--172 (2020; Zbl 07202208) Full Text: DOI
Gomi, Kiyonori Smoothness filtration of the magnitude complex. (English) Zbl 07198817 Forum Math. 32, No. 3, 625-639 (2020). MSC: 55N35 51F99 18G40 55U15 05C10 55T99 PDF BibTeX XML Cite \textit{K. Gomi}, Forum Math. 32, No. 3, 625--639 (2020; Zbl 07198817) Full Text: DOI
Das, Apurba Hom-associative algebras up to homotopy. (English) Zbl 07198554 J. Algebra 556, 836-878 (2020). MSC: 16E40 16S99 55U15 16E45 17A99 16D20 PDF BibTeX XML Cite \textit{A. Das}, J. Algebra 556, 836--878 (2020; Zbl 07198554) Full Text: DOI
Miller, Jeremy; Patzt, Peter; Wilson, Jennifer C. H.; Yasaki, Dan Non-integrality of some Steinberg modules. (English) Zbl 07197490 J. Topol. 13, No. 2, 441-459 (2020). MSC: 11F75 55N25 55R35 55U10 PDF BibTeX XML Cite \textit{J. Miller} et al., J. Topol. 13, No. 2, 441--459 (2020; Zbl 07197490) Full Text: DOI
Garner, Richard; Kędziorek, Magdalena; Riehl, Emily Lifting accessible model structures. (English) Zbl 1442.18011 J. Topol. 13, No. 1, 59-76 (2020). Reviewer: Philippe Gaucher (Paris) MSC: 18C35 55U35 PDF BibTeX XML Cite \textit{R. Garner} et al., J. Topol. 13, No. 1, 59--76 (2020; Zbl 1442.18011) Full Text: DOI
Park, Boram; Park, Hanchul; Park, Seonjeong Graph invariants and Betti numbers of real toric manifolds. (English) Zbl 1441.55015 Osaka J. Math. 57, No. 2, 333-356 (2020). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 55U10 57N65 05C30 PDF BibTeX XML Cite \textit{B. Park} et al., Osaka J. Math. 57, No. 2, 333--356 (2020; Zbl 1441.55015) Full Text: Euclid
Yang, Gang; Estrada, Sergio Characterizations of Ding injective complexes. (English) Zbl 1446.18010 Bull. Malays. Math. Sci. Soc. (2) 43, No. 3, 2385-2398 (2020). Reviewer: Ahmet A. Khusainov (Komsomolsk-om-Amur) MSC: 18G25 18G35 55U15 55U35 PDF BibTeX XML Cite \textit{G. Yang} and \textit{S. Estrada}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 3, 2385--2398 (2020; Zbl 1446.18010) Full Text: DOI
Moss, Sean Another approach to the Kan-Quillen model structure. (English) Zbl 1437.55025 J. Homotopy Relat. Struct. 15, No. 1, 143-165 (2020). Reviewer: Marek Golasiński (Olsztyn) MSC: 55U10 18N40 18N50 55U35 PDF BibTeX XML Cite \textit{S. Moss}, J. Homotopy Relat. Struct. 15, No. 1, 143--165 (2020; Zbl 1437.55025) Full Text: DOI
van den Berg, Benno Univalent polymorphism. (English) Zbl 1440.18048 Ann. Pure Appl. Logic 171, No. 6, Article ID 102793, 29 p. (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N45 03B38 03F50 03G30 18C50 55U35 68Q55 PDF BibTeX XML Cite \textit{B. van den Berg}, Ann. Pure Appl. Logic 171, No. 6, Article ID 102793, 29 p. (2020; Zbl 1440.18048) Full Text: DOI
Fu, Xin; Grbić, Jelena Simplicial G-complexes and representation stability of polyhedral products. (English) Zbl 07188020 Algebr. Geom. Topol. 20, No. 1, 215-238 (2020). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 20C30 05E10 55N91 55U10 PDF BibTeX XML Cite \textit{X. Fu} and \textit{J. Grbić}, Algebr. Geom. Topol. 20, No. 1, 215--238 (2020; Zbl 07188020) Full Text: DOI
Carlier, Louis Incidence bicomodules, Möbius inversion and a Rota formula for infinity adjunctions. (English) Zbl 07188019 Algebr. Geom. Topol. 20, No. 1, 169-213 (2020). Reviewer: Ramón González Rodríguez (Vigo) MSC: 18N10 18N50 55U10 06A07 06A15 06A75 16D20 16T15 PDF BibTeX XML Cite \textit{L. Carlier}, Algebr. Geom. Topol. 20, No. 1, 169--213 (2020; Zbl 07188019) Full Text: DOI
Dougherty, John The hole argument, take \(n\). (English) Zbl 1435.03034 Found. Phys. 50, No. 4, 330-347 (2020). MSC: 03B38 55U40 03A10 PDF BibTeX XML Cite \textit{J. Dougherty}, Found. Phys. 50, No. 4, 330--347 (2020; Zbl 1435.03034) Full Text: DOI
Gutev, Valentin Constructing selections stepwise over cones of simplicial complexes. (English) Zbl 07187679 Topology Appl. 275, Article ID 107032, 12 p. (2020). Reviewer: Piet Borst (Alkmaar) MSC: 54C60 54C65 54D20 54F45 55M10 55U10 PDF BibTeX XML Cite \textit{V. Gutev}, Topology Appl. 275, Article ID 107032, 12 p. (2020; Zbl 07187679) Full Text: DOI
Fernández-Ternero, Desamparados; Macías-Virgós, Enrique; Scoville, Nicholas A.; Vilches, José Antonio Strong discrete Morse theory and simplicial L-S category: a discrete version of the Lusternik-Schnirelmann theorem. (English) Zbl 1444.55011 Discrete Comput. Geom. 63, No. 3, 607-623 (2020). Reviewer: Miguel Ottina (Mendoza) MSC: 55U10 55M30 57Q70 PDF BibTeX XML Cite \textit{D. Fernández-Ternero} et al., Discrete Comput. Geom. 63, No. 3, 607--623 (2020; Zbl 1444.55011) Full Text: DOI
Fernández, Ximena; Minian, Elías Gabriel The cylinder of a relation and generalized versions of the nerve theorem. (English) Zbl 1444.55012 Discrete Comput. Geom. 63, No. 3, 549-559 (2020). Reviewer: Miguel Ottina (Mendoza) MSC: 55U10 55P10 06A07 18B35 57Q10 PDF BibTeX XML Cite \textit{X. Fernández} and \textit{E. G. Minian}, Discrete Comput. Geom. 63, No. 3, 549--559 (2020; Zbl 1444.55012) Full Text: DOI
Kock, Joachim; Spivak, David I. Decomposition-space slices are toposes. (English) Zbl 1442.18008 Proc. Am. Math. Soc. 148, No. 6, 2317-2329 (2020). MSC: 18B25 18N50 55U10 PDF BibTeX XML Cite \textit{J. Kock} and \textit{D. I. Spivak}, Proc. Am. Math. Soc. 148, No. 6, 2317--2329 (2020; Zbl 1442.18008) Full Text: DOI
Meinrenken, Eckhard; Salazar, María Amelia Van Est differentiation and integration. (English) Zbl 1443.22004 Math. Ann. 376, No. 3-4, 1395-1428 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22A22 17B56 55U05 58H05 PDF BibTeX XML Cite \textit{E. Meinrenken} and \textit{M. A. Salazar}, Math. Ann. 376, No. 3--4, 1395--1428 (2020; Zbl 1443.22004) Full Text: DOI
Jojić, Duško; Marzantowicz, Wacław; Vrećica, Siniša T.; Živaljević, Rade T. Unavoidable complexes, via an elementary equivariant index theory. (English) Zbl 1435.05241 J. Fixed Point Theory Appl. 22, No. 2, Paper No. 31, 12 p. (2020). MSC: 05E45 52A35 55S35 55U10 55N25 57Q35 PDF BibTeX XML Cite \textit{D. Jojić} et al., J. Fixed Point Theory Appl. 22, No. 2, Paper No. 31, 12 p. (2020; Zbl 1435.05241) Full Text: DOI
Bourke, John Equipping weak equivalences with algebraic structure. (English) Zbl 1437.55027 Math. Z. 294, No. 3-4, 995-1019 (2020). Reviewer: José Calcines (La Laguna) MSC: 55U35 18C35 PDF BibTeX XML Cite \textit{J. Bourke}, Math. Z. 294, No. 3--4, 995--1019 (2020; Zbl 1437.55027) Full Text: DOI
Lucas, Maxime A cubical Squier’s theorem. (English) Zbl 1436.18022 Math. Struct. Comput. Sci. 30, No. 2, 159-172 (2020). MSC: 18N30 55U35 20N02 68Q42 PDF BibTeX XML Cite \textit{M. Lucas}, Math. Struct. Comput. Sci. 30, No. 2, 159--172 (2020; Zbl 1436.18022) Full Text: DOI
Raussen, Martin Pair component categories for directed spaces. (English) Zbl 07177616 J. Appl. Comput. Topol. 4, No. 1, 101-139 (2020). MSC: 18B35 55P60 55U40 68Q85 PDF BibTeX XML Cite \textit{M. Raussen}, J. Appl. Comput. Topol. 4, No. 1, 101--139 (2020; Zbl 07177616) Full Text: DOI
Kozlov, Dmitry N. A combinatorial method to compute explicit homology cycles using discrete Morse theory. (English) Zbl 1441.57026 J. Appl. Comput. Topol. 4, No. 1, 79-100 (2020). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 57Q70 55U99 57Q10 PDF BibTeX XML Cite \textit{D. N. Kozlov}, J. Appl. Comput. Topol. 4, No. 1, 79--100 (2020; Zbl 1441.57026) Full Text: DOI
Chacholski, Wojtek; Levi, Ran; Meshulam, Roy On the topology of complexes of injective words. (English) Zbl 1437.05242 J. Appl. Comput. Topol. 4, No. 1, 29-44 (2020). MSC: 05E45 55U10 PDF BibTeX XML Cite \textit{W. Chacholski} et al., J. Appl. Comput. Topol. 4, No. 1, 29--44 (2020; Zbl 1437.05242) Full Text: DOI
Carlsson, Gunnar; Filippenko, Benjamin Persistent homology of the sum metric. (English) Zbl 1437.55007 J. Pure Appl. Algebra 224, No. 5, Article ID 106244, 25 p. (2020). Reviewer: My Ismail Mamouni (Témara) MSC: 55N31 55U25 PDF BibTeX XML Cite \textit{G. Carlsson} and \textit{B. Filippenko}, J. Pure Appl. Algebra 224, No. 5, Article ID 106244, 25 p. (2020; Zbl 1437.55007) Full Text: DOI
Ara, Dimitri; Maltsiniotis, Georges A Quillen’s theorem A for strict \(\infty \)-categories. II: The \(\infty \)-categorical proof. (Un théorème A de Quillen pour les \(\infty\)-catégories strictes. II: La preuve \(\infty\)-catégorique.) (English. French summary) Zbl 07173321 High. Struct. 4, No. 1, 284-388 (2020). MSC: 18N60 18N65 18M05 18N50 18N40 18A25 55P15 55U10 55U15 55U35 PDF BibTeX XML Cite \textit{D. Ara} and \textit{G. Maltsiniotis}, High. Struct. 4, No. 1, 284--388 (2020; Zbl 07173321) Full Text: Link
Ayala, David; Francis, John Fibrations of \(\infty \)-categories. (English) Zbl 1440.18003 High. Struct. 4, No. 1, 168-265 (2020). Reviewer: Philippe Gaucher (Paris) MSC: 18A22 55U35 55P65 PDF BibTeX XML Cite \textit{D. Ayala} and \textit{J. Francis}, High. Struct. 4, No. 1, 168--265 (2020; Zbl 1440.18003) Full Text: Link
Riehl, Emily; Verity, Dominic Infinity category theory from scratch. (English) Zbl 07173318 High. Struct. 4, No. 1, 115-167 (2020). Reviewer: Martina Rovelli (Baltimore) MSC: 18N40 55U35 PDF BibTeX XML Cite \textit{E. Riehl} and \textit{D. Verity}, High. Struct. 4, No. 1, 115--167 (2020; Zbl 07173318) Full Text: Link
Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel Derived completion for comodules. (English) Zbl 1436.55018 Manuscr. Math. 161, No. 3-4, 409-438 (2020). Reviewer: Geoffrey Powell (Angers) MSC: 55P60 13D45 14B15 55U35 PDF BibTeX XML Cite \textit{T. Barthel} et al., Manuscr. Math. 161, No. 3--4, 409--438 (2020; Zbl 1436.55018) Full Text: DOI
Noguchi, Kazunori Fundamental properties of Björner’s complexes. (English) Zbl 1443.11194 Topology Appl. 272, Article ID 107055, 7 p. (2020). MSC: 11N25 11A05 55U10 PDF BibTeX XML Cite \textit{K. Noguchi}, Topology Appl. 272, Article ID 107055, 7 p. (2020; Zbl 1443.11194) Full Text: DOI
Maehara, Yuki Inner horns for 2-quasi-categories. (English) Zbl 1440.18051 Adv. Math. 363, Article ID 107003, 56 p. (2020). Reviewer: Tobias Fritz (Innsbruck) MSC: 18N65 18N10 55U35 55U40 PDF BibTeX XML Cite \textit{Y. Maehara}, Adv. Math. 363, Article ID 107003, 56 p. (2020; Zbl 1440.18051) Full Text: DOI
Wu, Chengyuan; Ren, Shiquan; Wu, Jie; Xia, Kelin Discrete Morse theory for weighted simplicial complexes. (English) Zbl 1437.55010 Topology Appl. 270, Article ID 107038, 19 p. (2020). Reviewer: Miguel Ottina (Mendoza) MSC: 55N35 55U10 92D20 PDF BibTeX XML Cite \textit{C. Wu} et al., Topology Appl. 270, Article ID 107038, 19 p. (2020; Zbl 1437.55010) Full Text: DOI
Guillou, Bertrand J.; May, J. Peter Enriched model categories and presheaf categories. (English) Zbl 1435.55009 New York J. Math. 26, 37-91 (2020). Reviewer: Malte Lackmann (Bonn) MSC: 55U35 55P42 PDF BibTeX XML Cite \textit{B. J. Guillou} and \textit{J. P. May}, New York J. Math. 26, 37--91 (2020; Zbl 1435.55009) Full Text: Link
Chataur, David; Saralegi-Aranguren, Martintxo; Tanré, Daniel Blown-up intersection cochains and Deligne’s sheaves. (English) Zbl 07160021 Geom. Dedicata 204, 315-337 (2020). MSC: 55N33 14F05 14F43 55M05 57P10 55U30 PDF BibTeX XML Cite \textit{D. Chataur} et al., Geom. Dedicata 204, 315--337 (2020; Zbl 07160021) Full Text: DOI
Blanc, David; Chorny, Boris Representability theorems, up to homotopy. (English) Zbl 1437.55026 Proc. Am. Math. Soc. 148, No. 3, 1363-1372 (2020). Reviewer: Antonio R. Garzón (Granada) MSC: 55U35 55P91 PDF BibTeX XML Cite \textit{D. Blanc} and \textit{B. Chorny}, Proc. Am. Math. Soc. 148, No. 3, 1363--1372 (2020; Zbl 1437.55026) Full Text: DOI
Miller, Jeremy; Wilson, Jennifer C. H. \( \mathsf{FI} \)-hyperhomology and ordered configuration spaces. (English) Zbl 07159633 Proc. Am. Math. Soc. 148, No. 3, 993-1002 (2020). MSC: 55R80 18A25 18G40 55R40 55U10 PDF BibTeX XML Cite \textit{J. Miller} and \textit{J. C. H. Wilson}, Proc. Am. Math. Soc. 148, No. 3, 993--1002 (2020; Zbl 07159633) Full Text: DOI
Grygierek, Jens; Juhnke-Kubitzke, Martina; Reitzner, Matthias; Römer, Tim; Röndigs, Oliver Gigantic random simplicial complexes. (English) Zbl 07150957 Homology Homotopy Appl. 22, No. 1, 297-318 (2020). MSC: 05E45 55U10 60B99 60D05 PDF BibTeX XML Cite \textit{J. Grygierek} et al., Homology Homotopy Appl. 22, No. 1, 297--318 (2020; Zbl 07150957) Full Text: DOI arXiv
Arlin, Kevin A higher Whitehead theorem and the embedding of quasicategories in prederivators. (English) Zbl 1432.18018 Homology Homotopy Appl. 22, No. 1, 117-139 (2020). Reviewer: Philippe Gaucher (Paris) MSC: 18N40 55U35 PDF BibTeX XML Cite \textit{K. Arlin}, Homology Homotopy Appl. 22, No. 1, 117--139 (2020; Zbl 1432.18018) Full Text: DOI
Choi, Suyoung; Park, Hanchul Multiplicative structure of the cohomology ring of real toric spaces. (English) Zbl 07150947 Homology Homotopy Appl. 22, No. 1, 97-115 (2020). MSC: 57N65 55U10 57S17 14M25 PDF BibTeX XML Cite \textit{S. Choi} and \textit{H. Park}, Homology Homotopy Appl. 22, No. 1, 97--115 (2020; Zbl 07150947) Full Text: DOI
Kianpi, Maurice On the topologicity of categories of coalgebras. (English) Zbl 1431.18002 Int. Electron. J. Algebra 27, 147-168 (2020). Reviewer: Luciano Stramaccia (Perugia) MSC: 18A35 18A40 55U40 PDF BibTeX XML Cite \textit{M. Kianpi}, Int. Electron. J. Algebra 27, 147--168 (2020; Zbl 1431.18002) Full Text: Link