Simplicial Lusternik-Schnirelmann category
Fernandez-Ternero, Desamparados (Universidad de Sevilla. Departamento de Geometría y Topología)
Macías-Virgós, Enrique (Universidade de Santiago de Compostela. Departamento de Matemáticas)
Minuz, Erica (Aarhus University (Dinamarca). Department of Mathematics)
Vilches Alarcón, José Antonio (Universidad de Sevilla. Departamento de Geometría y Topología)
Data: |
2019 |
Resum: |
The simplicial LS-category of a finite abstract simplicial complex is a new invariant of the strong homotopy type, defined in purely combinatorial terms. We prove that it generalizes to arbitrary simplicial complexes the well known notion of arboricity of a graph, and that it allows to develop many notions and results of algebraic topology which are costumary in the classical theory of Lusternik-Schnirelmann category. Also we compare the simplicial category of a complex with the LS-category of its geometric realization and we discuss the simplicial analogue of the Whitehead formulation of the LS-category. |
Drets: |
Tots els drets reservats. |
Llengua: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Matèria: |
Lusternik-schnirelmann category ;
Strong homotopy type ;
Geometric realization ;
Whitehead formulation of category ;
Graph arboricity |
Publicat a: |
Publicacions matemàtiques, Vol. 63 Núm. 1 (2019) , p. 265-293 (Articles) , ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/347138
DOI: 10.5565/PUBLMAT6311909
El registre apareix a les col·leccions:
Articles >
Articles publicats >
Publicacions matemàtiquesArticles >
Articles de recerca
Registre creat el 2019-01-08, darrera modificació el 2022-09-03