Dranishnikov, Alexander; Jauhari, Ekansh Distributional topological complexity and LS-category. (English) Zbl 07947563 Farber, Michael (ed.) et al., Topology and AI. Topological aspects of algorithms for autonomous motion. Berlin: European Mathematical Society (EMS). EMS Ser. Ind. Appl. Math. 4, 363-385 (2024). Reviewer: Stephan Mescher (Halle) MSC: 55M30 55S15 60B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Calcines, José Manuel Generalized topological complexity and its monoidal version. (English) Zbl 07947558 Farber, Michael (ed.) et al., Topology and AI. Topological aspects of algorithms for autonomous motion. Berlin: European Mathematical Society (EMS). EMS Ser. Ind. Appl. Math. 4, 241-264 (2024). MSC: 55M30 55M15 55P99 55-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuanyshov, Nursultan Erratum to: “On the LS-category of homomorphisms of groups with torsion”. (English) Zbl 07937124 Algebra Discrete Math. 38, No. 1, 59-62 (2024). MSC: 55M30 20J06 20K45 20K30 20K10 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Jinxia; He, Xiaoming Multiplicity of normalized semi-classical states for a class of nonlinear Choquard equations. (English) Zbl 07936895 Adv. Nonlinear Anal. 13, Article ID 20240038, 25 p. (2024). MSC: 35J61 35A15 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Asano, Tomohiro; Ike, Yuichi Completeness of derived interleaving distances and sheaf quantization of non-smooth objects. (English) Zbl 07932374 Math. Ann. 390, No. 2, 2991-3037 (2024). MSC: 53D12 53D50 53D35 54B40 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tanaka, Kohei Sectional category of maps related to finite spaces. (English) Zbl 07922255 Topol. Methods Nonlinear Anal. 63, No. 2, 537-557 (2024). Reviewer: Jean-Paul Doeraene (Villeneuve d’Ascq) MSC: 55M30 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Thin Van Nguyen; Rădulescu, Vicenţiu D. Multiple normalized solutions for fractional elliptic problems. (English) Zbl 1548.35290 Forum Math. 36, No. 5, 1225-1248 (2024). MSC: 35R11 35A15 35B09 35B33 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Kuanyshov, Nursultan On the sequential topological complexity of group homomorphisms. (English) Zbl 07919662 Topology Appl. 356, Article ID 109045, 18 p. (2024). Reviewer: Fatma Altunbulak Aksu (İstanbul) MSC: 55M30 20J06 20K45 20K30 20K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sciaraffia, Luciano Minimal networks on balls and spheres for almost standard metrics. (English) Zbl 07919127 J. Geom. Anal. 34, No. 10, Paper No. 319, 24 p. (2024). MSC: 53C22 58E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavešić, Petar Manifolds with small topological complexity. (English) Zbl 07901552 Algebr. Geom. Topol. 24, No. 3, 1713-1723 (2024). Reviewer: Marko Radovanović (Beograd) MSC: 55M30 57N65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández-Ternero, D.; Macías-Virgós, E.; Mosquera-Lois, D.; Vilches, J. A. Morse-Bott theory on posets and a homological Lusternik-Schnirelmann theorem. (English) Zbl 1547.57057 J. Topol. Anal. 16, No. 3, 323-346 (2024). Reviewer: Chong Zheng (Tōkyō) MSC: 57Q70 57R70 37B35 55M30 58E05 06A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alabay, Hilal; Borat, Ayşe; Cihangirli, Esra; Erdal, Esma Dirican Higher analogues of discrete topological complexity. (English) Zbl 1548.55001 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 125, 8 p. (2024). Reviewer: Cesar A. Ipanaque Zapata (São Carlos) MSC: 55M30 55U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, Claudianor O.; Ji, Chao Multiple normalized solutions to a logarithmic Schrödinger equation via Lusternik-Schnirelmann category. (English) Zbl 1537.35164 J. Geom. Anal. 34, No. 7, Paper No. 198, 29 p. (2024). MSC: 35J10 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Briggs, Benjamin; Grifo, Eloísa; Pollitz, Josh Bounds on cohomological support varieties. (English) Zbl 1544.13019 Trans. Am. Math. Soc., Ser. B 11, 703-726 (2024). Reviewer: Janina C. Letz (Bielefeld) MSC: 13D03 13H10 13D09 16E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Wulong; Dai, Guowei; Winkert, Patrick Multiple sign-changing solutions for superlinear \((p,q)\)-equations in symmetrical expanding domains. (English) Zbl 1545.35060 Bull. Sci. Math. 191, Article ID 103393, 21 p. (2024). Reviewer: Leszek Gasiński (Kraków) MSC: 35J92 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Boscaggin, A.; Dambrosio, W.; Papini, D. Infinitely many periodic solutions to a Lorentz force equation with singular electromagnetic potential. (English) Zbl 1537.34058 J. Differ. Equations 383, 190-213 (2024). Reviewer: Guglielmo Feltrin (Udine) MSC: 34C25 58E05 58E30 70H40 78A35 37C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kundu, Deep; Rudyak, Yuli B. Maps of degree 1, Lusternik-Schnirelmann category, and critical points. (English) Zbl 1537.57059 Topology Appl. 343, Article ID 108797, 7 p. (2024). Reviewer: Wolfgang Heil (Tallahassee) MSC: 57R70 55M25 55M30 57K30 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuanyshov, Nursultan On the LS-category of homomorphism of almost nilpotent groups. (English) Zbl 1531.55003 Topology Appl. 342, Article ID 108776, 9 p. (2024). Reviewer: Jean-Claude Thomas (Angers) MSC: 55M30 20J06 55M10 22E20 22E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Paula Ramos, Gustavo Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold. (English) Zbl 1531.58019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113387, 24 p. (2024). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J05 58E05 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, Claudianor O.; da Silva, Ismael S. Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik-Schnirelmann category. (English) Zbl 1528.35035 Anal. Appl., Singap. 21, No. 6, 1477-1516 (2023). MSC: 35J10 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skotnica, Michael; Tancer, Martin NP-hardness of computing PL geometric category in dimension 2. (English) Zbl 1529.55003 SIAM J. Discrete Math. 37, No. 3, 2016-2029 (2023). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 55M30 57Q10 68Q17 05E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macías-Virgós, Enrique; Mosquera-Lois, David; Oprea, John \(m\)-homotopic distance. (English) Zbl 1525.55004 Topology Appl. 339, Part A, Article ID 108589, 9 p. (2023). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 55P99 × Cite Format Result Cite Review PDF Full Text: DOI
Baralić, Đorđe; Vavpetič, Aleš; Vučić, Aleksandar Universal complexes in toric topology. (English) Zbl 1535.57056 Result. Math. 78, No. 6, Paper No. 218, 30 p. (2023). Reviewer: Ivan Limonchenko (Toronto) MSC: 57S12 55U05 57Q70 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
İs, Melih; Karaca, İsmet Different types of topological complexity based on higher homotopic distance. (English) Zbl 1522.55004 Topology Appl. 337, Article ID 108630, 20 p. (2023). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 55R10 14M15 57N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qian, Chao; Tang, Zizhou; Yan, Wenjiao Topology and curvature of isoparametric families in spheres. (English) Zbl 1525.53032 Commun. Math. Stat. 11, No. 2, 439-475 (2023). Reviewer: Jianquan Ge (Beijing) MSC: 53C12 53A07 53C40 53C42 55M30 57R30 55R25 58E05 15A66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chodosh, Otis; Mantoulidis, Christos The p-widths of a surface. (English) Zbl 1533.58015 Publ. Math., Inst. Hautes Étud. Sci. 137, 245-342 (2023). Reviewer: Costante Bellettini (London) MSC: 58J50 58C40 55M30 53C42 53C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Iwase, Norio Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point. (English) Zbl 1516.55003 Topol. Methods Nonlinear Anal. 61, No. 1, 217-238 (2023). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 18M75 55P05 55P10 55P45 55P48 55Q25 55R35 55R70 55S10 55-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corona, Dario; Giambò, Roberto; Giannoni, Fabio; Piccione, Paolo On the relative category in the brake orbits problem. (English) Zbl 1514.58010 Topol. Methods Nonlinear Anal. 61, No. 1, 199-215 (2023). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58E05 58E10 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Rudyak, Yuli B.; Sarkar, Soumen Maps of degree one, LS category and higher topological complexities. (English) Zbl 1516.55004 Topol. Methods Nonlinear Anal. 61, No. 1, 7-20 (2023). Reviewer: Jean-Claude Thomas (Angers) MSC: 55M30 55S40 × Cite Format Result Cite Review PDF Full Text: DOI
Alves, Claudianor O.; Thin, Nguyen V. On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\) via Lusternik-Schnirelmann category. (English) Zbl 1514.35218 SIAM J. Math. Anal. 55, No. 2, 1264-1283 (2023). MSC: 35J91 35A15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
İs, Melih; Karaca, İsmet Certain topological methods for computing digital topological complexity. (English) Zbl 1540.55005 Korean J. Math. 31, No. 1, 1-16 (2023). Reviewer: Dae-Woong Lee (Jeonju) MSC: 55M30 54H30 68U10 68T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghimenti, Marco G.; Liu, Min; Tang, Zhongwei Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains. (English) Zbl 1512.35269 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 2, Paper No. 28, 27 p. (2023). MSC: 35J61 35R11 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borat, Ayşe; Pamuk, Mehmetcik; Vergili, Tane Contiguity distance between simplicial maps. (English) Zbl 1536.55002 Turk. J. Math. 47, No. 2, 664-677 (2023). Reviewer: Debasis Sen (Kanpur) MSC: 55M30 55U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Hongjie; Zhong, Linan; Zhao, Hao Digital cofibration and digital Lusternik-Schnirelmann category in the sense of subdivision. (English) Zbl 1515.55003 Chin. Ann. Math., Ser. B 44, No. 1, 35-48 (2023). Reviewer: Dae-Woong Lee (Jeonju) MSC: 55M30 54A99 54H30 × Cite Format Result Cite Review PDF Full Text: DOI
Vergili, Tane; Borat, Ayşe Topological spaces induced by homotopic distance. (English) Zbl 1529.55004 J. Linear Topol. Algebra 11, No. 2, 85-91 (2022). Reviewer: José Calcines (La Laguna) MSC: 55M99 54D99 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rudyak, Yuli B.; Sarkar, Soumen Relative LS categories and higher topological complexities of maps. (English) Zbl 1506.55002 Topology Appl. 322, Article ID 108317, 16 p. (2022). Reviewer: Cesar A. Ipanaque Zapata (São Carlos) MSC: 55M30 55S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grant, Mark; Meir, Ehud; Patchkoria, Irakli Equivariant dimensions of groups with operators. (English) Zbl 1511.55010 Groups Geom. Dyn. 16, No. 3, 1049-1075 (2022). Reviewer: Daniel Juan Pineda (Michoacán) MSC: 55N91 20J05 55M30 20E36 55R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vylegzhanin, F. E. Pontryagin algebras and the LS-category of moment-angle complexes in the flag case. (English. Russian original) Zbl 1504.05311 Proc. Steklov Inst. Math. 317, 55-77 (2022); translation from Tr. Mat. Inst. Steklova 317, 64-88 (2022). MSC: 05E45 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Löh, Clara; Moraschini, Marco Topological volumes of fibrations: a note on open covers. (English) Zbl 1505.55008 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 5, 1340-1360 (2022). Reviewer: Jens Reinhold (Münster) MSC: 55M30 55N10 53C23 18G90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Govc, Dejan; Marzantowicz, Wacław; Pavešić, Petar Estimates of covering type and minimal triangulations based on category weight. (English) Zbl 1501.57021 Forum Math. 34, No. 4, 969-988 (2022). Reviewer: Jianqiang Yang (Mengzi) MSC: 57Q15 55M30 57R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khiddi, Mustapha Multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent. (English) Zbl 1500.35138 Rocky Mt. J. Math. 52, No. 2, 535-545 (2022). Reviewer: Fukun Zhao (Kunming) MSC: 35J47 35J50 35R11 35B33 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aguilar-Guzmán, Jorge; González, Jesús; Oprea, John Right-angled Artin groups, polyhedral products and the \(\mathsf{TC}\)-generating function. (English) Zbl 1530.55001 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 3, 649-673 (2022). Reviewer: Esma Dirican Erdal (İstanbul) MSC: 55M30 57S12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, Claudianor O.; dos Santos, Jefferson A. Multiple solutions for semilinear discontinuous variational problems with lack of compactness. (English) Zbl 1491.35129 Isr. J. Math. 247, No. 1, 149-176 (2022). MSC: 35J05 35J91 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Akhtarifar, Fezzeh; Asadi, Mohammad Ali A note on LS-category and topological complexity of real Grassmann manifolds. (English) Zbl 1502.55003 J. Math. Ext. 16, No. 4, Paper No. 2, 14 p. (2022). Reviewer: Branislav Prvulović (Beograd) MSC: 55M30 57N60 × Cite Format Result Cite Review PDF Full Text: DOI
Dranishnikov, Alexander; Scott, Jamie Surgery approach to Rudyak’s conjecture. (English) Zbl 1492.55004 Topology Appl. 311, Article ID 107956, 7 p. (2022). Reviewer: Jean-Paul Doeraene (Villeneuve d’Ascq) MSC: 55M30 55M25 57R65 57R67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dranishnikov, Alexander On the LS-category of product of Iwase’s manifolds. (English) Zbl 1490.55002 Proc. Am. Math. Soc. 150, No. 5, 2209-2222 (2022). Reviewer: José Calcines (La Laguna) MSC: 55M30 55M25 57N65 × Cite Format Result Cite Review PDF Full Text: DOI
Kristály, Alexandru; Shen, Zhongmin; Yuan, Lixia; Zhao, Wei Nonlinear spectrums of Finsler manifolds. (English) Zbl 1491.53026 Math. Z. 300, No. 1, 81-123 (2022). Reviewer: Gauree Shanker (Bathinda) MSC: 53B40 58C40 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lupton, Gregory; Oprea, John; Scoville, Nicholas A. Homotopy theory in digital topology. (English) Zbl 1481.54060 Discrete Comput. Geom. 67, No. 1, 112-165 (2022). Reviewer: Ege Özgür (Izmir) MSC: 54H30 55P99 68U10 55P05 55M25 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macías-Virgós, E.; Mosquera-Lois, D. Homotopic distance between maps. (English) Zbl 1485.55005 Math. Proc. Camb. Philos. Soc. 172, No. 1, 73-93 (2022). Reviewer: Jean-Paul Doeraene (Villeneuve d’Ascq) MSC: 55M30 55M99 55P99 55R10 55P45 68T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cohen, Daniel C.; Vandembroucq, Lucile On the topological complexity of manifolds with abelian fundamental group. (English) Zbl 1491.55004 Forum Math. 33, No. 6, 1403-1421 (2021). Reviewer: Stephan Mescher (Halle) MSC: 55M30 55S40 57N65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beben, Piotr; Grbić, Jelena LS-category of moment-angle manifolds and higher order Massey products. (English) Zbl 1486.55005 Forum Math. 33, No. 5, 1179-1205 (2021). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 55M30 55U10 32Q55 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pavešić, Petar Topological complexity of real Grassmannians. (English) Zbl 1530.55002 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 6, 2013-2029 (2021); corrigendum ibid. 153, No. 3, 1071-1072 (2023). Reviewer: Cesar A. Ipanaque Zapata (São Carlos) MSC: 55M30 55S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borat, Ayşe; Vergili, Tane Higher homotopic distance. (English) Zbl 1479.55006 Topol. Methods Nonlinear Anal. 57, No. 2, 525-534 (2021). Reviewer: Stephan Mescher (Halle) MSC: 55M30 55M99 68T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mu, Xuewei; Liu, Dengpin Lusternik-Schnirelmann category of small cover. (Chinese. English summary) Zbl 1499.57022 Acta Math. Sin., Chin. Ser. 64, No. 1, 59-64 (2021). MSC: 57S12 14M25 55M30 × Cite Format Result Cite Review PDF
Kotschick, D. On the monotonicity of amenable category. (English) Zbl 1472.55002 Topology Appl. 300, Article ID 107779, 3 p. (2021). Reviewer: Stephan Mescher (Halle) MSC: 55M30 55M25 57K30 × Cite Format Result Cite Review PDF Full Text: DOI
Borat, Ayse Digital homotopic distance between digital functions. (English) Zbl 1469.55002 Appl. Gen. Topol. 22, No. 1, 183-192 (2021). MSC: 55M30 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Mescher, Stephan Spherical complexities with applications to closed geodesics. (English) Zbl 1469.55003 Algebr. Geom. Topol. 21, No. 2, 1021-1074 (2021). Reviewer: Cesar A. Ipanaque Zapata (São Carlos) MSC: 55M30 55S40 58E05 58E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vergili, Tane; Borat, Ayse Digital Lusternik-Schnirelmann category of digital functions. (English) Zbl 1488.55001 Hacet. J. Math. Stat. 49, No. 4, 1414-1422 (2020). MSC: 55M30 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Macías-Virgós, E.; Mosquera-Lois, D. Homotopic distance between functors. (English) Zbl 1462.55009 J. Homotopy Relat. Struct. 15, No. 3-4, 537-555 (2020). Reviewer: José Calcines (La Laguna) MSC: 55U10 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dranishnikov, Alexander; Sadykov, Rustam The Lusternik-Schnirelmann category of a connected sum. (English) Zbl 1459.55002 Fundam. Math. 251, No. 3, 317-328 (2020). Reviewer: Jean-Paul Doeraene (Villeneuve d’Ascq) MSC: 55M30 57R19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naskar, Bikramaditya; Sarkar, Soumen On LS-category and topological complexity of some fiber bundles and Dold manifolds. (English) Zbl 1456.55002 Topology Appl. 284, Article ID 107367, 14 p. (2020). Reviewer: José Calcines (La Laguna) MSC: 55M30 55R10 × Cite Format Result Cite Review PDF Full Text: DOI
Tanaka, Kohei Lusternik-Schnirelmann category of relation matrices on finite spaces and simplicial complexes. (English) Zbl 1456.55003 Fundam. Math. 249, No. 2, 149-167 (2020). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 55M30 06A07 05E45 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, Michael; Kishimoto, Daisuke; Stanley, Donald Generating functions and topological complexity. (English) Zbl 1440.55001 Topology Appl. 278, Article ID 107235, 4 p. (2020). Reviewer: Cesar A. Ipanaque Zapata (São Carlos) MSC: 55M30 55P62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grant, Mark; Mescher, Stephan Topological complexity of symplectic manifolds. (English) Zbl 1440.53085 Math. Z. 295, No. 1-2, 667-679 (2020). MSC: 53D05 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stanley, Don; Strom, Jeff Lusternik-Schnirelmann category of products with half-smashes. (English) Zbl 1439.55002 Algebr. Geom. Topol. 20, No. 1, 439-450 (2020). Reviewer: José Calcines (La Laguna) MSC: 55M30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angel, A.; Colman, H.; Grant, M.; Oprea, J. Morita invariance of equivariant Lusternik-Schnirelmann category and invariant topological complexity. (English) Zbl 1462.55001 Theory Appl. Categ. 35, 179-195 (2020). Reviewer: Gregory Lupton (Cleveland) MSC: 55M30 55R91 55P91 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Lupton, Gregory; Smith, Samuel Bruce The rational sectional category of certain universal fibrations. (English) Zbl 1443.55003 Rev. Mat. Complut. 33, No. 1, 187-196 (2020). Reviewer: Youssef Rami (Meknès) MSC: 55P62 55M30 55P45 55R70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavešić, Petar Monotonicity of the Schwarz genus. (English) Zbl 1433.55001 Proc. Am. Math. Soc. 148, No. 3, 1339-1349 (2020). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 55S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Govc, Dejan; Marzantowicz, Wacław; Pavešić, Petar Estimates of covering type and the number of vertices of minimal triangulations. (English) Zbl 1431.55003 Discrete Comput. Geom. 63, No. 1, 31-48 (2020). Reviewer: José Calcines (La Laguna) MSC: 55M30 57Q15 57R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pang, Lu; Li, Xueqin; Zhang, Yajing Existence of multiple positive solutions for fractional Laplace problems with critical growth and sign-changing weight in non-contractible domains. (English) Zbl 1513.35024 Bound. Value Probl. 2019, Paper No. 81, 29 p. (2019). MSC: 35A15 35S15 35R11 35B09 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Dranishnikov, Alexander An upper bound on the LS category in presence of the fundamental group. (English) Zbl 1439.55001 Algebr. Geom. Topol. 19, No. 7, 3601-3614 (2019). Reviewer: Youssef Rami (Meknès) MSC: 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavešić, Petar Triangulations with few vertices of manifolds with non-free fundamental group. (English) Zbl 1454.57018 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 6, 1453-1463 (2019). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 57Q15 52B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Buchstaber, Viktor M.; Limonchenko, Ivan Yu. Massey products, toric topology and combinatorics of polytopes. (English. Russian original) Zbl 1430.13034 Izv. Math. 83, No. 6, 1081-1136 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 6, 3-62 (2019). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 14M25 55S30 52B11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zapata, Cesar A. Ipanaque Category and topological complexity of the configuration space \(F(G\times \mathbb{R}^n,2)\). (English) Zbl 1428.55006 Bull. Aust. Math. Soc. 100, No. 3, 507-517 (2019). Reviewer: Yuli Rudyak (Gainesville) MSC: 55R80 55M30 55P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macías-Virgós, E.; Pereira-Sáez, M. J.; Tanré, Daniel Relative singular value decomposition and applications to LS-category. (English) Zbl 1432.55002 Linear Algebra Appl. 582, 58-75 (2019). Reviewer: Dirk Schuetz (Durham) MSC: 55M30 15B33 22E20 22F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Juntao; Wu, Tsung-Fang; Feng, Zhaosheng Two positive solutions to non-autonomous Schrödinger-Poisson systems. (English) Zbl 1425.35027 Nonlinearity 32, No. 10, 4002-4032 (2019). MSC: 35J20 35J61 35A01 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Yokoi, Katsuya Lusternik-Schnirelmann category based on the discrete Conley index theory. (English) Zbl 1423.55002 Glasg. Math. J. 61, No. 3, 693-704 (2019). Reviewer: José Calcines (La Laguna) MSC: 55M30 37B30 37B35 × Cite Format Result Cite Review PDF Full Text: DOI
Iwase, Norio; Sakai, Michihiro; Tsutaya, Mitsunobu A short proof for \(\mathrm{tc}(K)=4\). (English) Zbl 1423.55001 Topology Appl. 264, 167-174 (2019). MSC: 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ipanaque Zapata, Cesar A. Lusternik-Schnirelmann category of the configuration space of complex projective space. (English) Zbl 1434.55008 Topol. Proc. 54, 103-108 (2019). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 55R80 55M30 55T10 × Cite Format Result Cite Review PDF Full Text: arXiv
Weber, Joa Conley pairs in geometry – Lusternik-Schnirelmann theory and more. (English) Zbl 1475.55003 Expo. Math. 37, No. 1, 25-47 (2019). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 55M30 37B20 37B30 58E05 57-02 37-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farber, Michael; Oprea, John Higher topological complexity of aspherical spaces. (English) Zbl 1412.55003 Topology Appl. 258, 142-160 (2019). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dranishnikov, Alexander; Sadykov, Rustam On the LS-category and topological complexity of a connected sum. (English) Zbl 1448.55003 Proc. Am. Math. Soc. 147, No. 5, 2235-2244 (2019). Reviewer: José Calcines (La Laguna) MSC: 55M30 55R05 57N65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández-Ternero, Desamparados; Macías-Virgós, Enrique; Minuz, Erica; Vilches, José Antonio Simplicial Lusternik-Schnirelmann category. (English) Zbl 1416.55003 Publ. Mat., Barc. 63, No. 1, 265-293 (2019). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 55U10 55M30 06F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Fonda, Alessandro Generalizing the Lusternik-Schnirelmann critical point theorem. (English) Zbl 1414.58010 Bull. Lond. Math. Soc. 51, No. 1, 25-33 (2019). Reviewer: Mohsen Timoumi (Monastir) MSC: 58E05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John An upper bound for topological complexity. (English) Zbl 1410.55002 Topology Appl. 255, 109-125 (2019). Reviewer: José Calcines (La Laguna) MSC: 55M30 55P99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petean, Jimmy Multiplicity results for the Yamabe equation by Lusternik-Schnirelmann theory. (English) Zbl 1409.58013 J. Funct. Anal. 276, No. 6, 1788-1805 (2019). MSC: 58J05 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khalil, Assakta; Bin Ahmad, Abd Ghafur Completely regular maps and Lusternik-Schnirelmann category. (English) Zbl 1430.55003 JP J. Geom. Topol. 21, No. 1, 65-73 (2018). MSC: 55M30 55R05 54E40 × Cite Format Result Cite Review PDF Full Text: DOI
Borat, Ayşe; Vergili, Tane Digital Lusternik-Schnirelmann category. (English) Zbl 1424.55001 Turk. J. Math. 42, No. 4, 1845-1852 (2018). MSC: 55M30 55U10 × Cite Format Result Cite Review PDF Full Text: DOI
Félix, Yves; Halperin, Steve The depth and LS category of a topological space. (English) Zbl 1411.55003 Math. Scand. 123, No. 2, 220-238 (2018). Reviewer: Július Korbaš (Bratislava) MSC: 55M30 55P62 × Cite Format Result Cite Review PDF Full Text: DOI
Macías-Virgós, Enrique The Cayley transform on Lie groups, symmetric spaces and Stiefel manifolds. (English) Zbl 1438.53095 Rev. Roum. Math. Pures Appl. 63, No. 2, 143-160 (2018). Reviewer: John D. Dixon (Ottawa) MSC: 53C35 22E15 53C30 55M30 58E05 × Cite Format Result Cite Review PDF
Li, Qin; Yang, Zuodong Multiple positive solutions for a fractional Laplacian system with critical nonlinearities. (English) Zbl 1439.35539 Bull. Malays. Math. Sci. Soc. (2) 41, No. 4, 1879-1905 (2018). MSC: 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Dare Houck, Julienne; Strom, Jeffrey The categorical sequence of a rational space. (English) Zbl 1404.55004 Homology Homotopy Appl. 21, No. 1, 49-71 (2019). Reviewer: Youssef Rami (Meknès) MSC: 55M30 55P62 55Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Briggs, Benjamin Lusternik-Schnirelmann category in commutative algebra and the homotopy Lie algebra. (English. French summary) Zbl 1454.13016 C. R. Math. Acad. Sci., Soc. R. Can. 40, No. 2, 61-64 (2018). MSC: 13D02 55P62 16E45 55M30 × Cite Format Result Cite Review PDF
Hurder, Steven; Walczak, Paweł G. Compact foliations with finite transverse LS category. (English) Zbl 1404.57046 J. Math. Soc. Japan 70, No. 3, 1015-1046 (2018). Reviewer: Yuli Rudyak (Gainesville) MSC: 57R30 53C12 55M30 57S15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Zifei; Gao, Fashun; Yang, Minbo On critical Choquard equation with potential well. (English) Zbl 1398.35064 Discrete Contin. Dyn. Syst. 38, No. 7, 3567-3593 (2018). MSC: 35J60 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández-Ternero, D.; Macías-Virgós, E.; Minuz, E.; Vilches, J. A. Discrete topological complexity. (English) Zbl 1402.55007 Proc. Am. Math. Soc. 146, No. 10, 4535-4548 (2018). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 55U10 55M30 55S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghimenti, Marco; Micheletti, Anna Maria Positive solutions for double singularly perturbed Schrödinger Maxwell systems. (English) Zbl 1397.35098 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 174, 223-241 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 35J47 58E05 81V10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tanaka, Kohei Lusternik-Schnirelmann category for categories and classifying spaces. (English) Zbl 1395.55006 Topology Appl. 239, 65-80 (2018). Reviewer: Daniel Tanré (Villeneuve d’ Ascq) MSC: 55M30 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Grant, Mark; Recio-Mitter, David Topological complexity of subgroups of Artin’s braid groups. (English) Zbl 1392.55009 Grant, Mark (ed.) et al., Topological complexity and related topics. Mini-workshop on topological complexity and related topics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, February 28 – March 5, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3436-6/pbk; 978-1-4704-4405-1/ebook). Contemporary Mathematics 702, 165-176 (2018). Reviewer: Jose Calcines (La Laguna) MSC: 55M99 55P20 55M30 20J06 68T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv