Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778079 | Topology and its Applications | 2017 | 13 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Nicholas A. Scoville, Willie Swei,