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On the Lusternik–Schnirelmann category of a simplicial map.
- Source :
-
Topology & Its Applications . Feb2017, Vol. 216, p116-128. 13p. - Publication Year :
- 2017
-
Abstract
- In this paper, we study the Lusternik–Schnirelmann category of a simplicial map between simplicial complexes, generalizing the simplicial category of a complex to that of a map. Several properties of this new invariant are shown, including its relevance to simplicial products and fibrations. We relate this category of a map to the classical Lusternik–Schnirelmann category of a map between finite topological spaces. Finally, we show how the simplicial category of a map may be used to define and study a simplicial version of the category weight of Y. Rudyak and J. Strom. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 216
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 120296074
- Full Text :
- https://doi.org/10.1016/j.topol.2016.11.015