Published Paper
Inserted: 2 jan 2020
Last Updated: 2 jan 2020
Journal: Topology and its applications
Year: 2016
Doi: https://doi.org/10.1016/j.topol.2015.12.002
Abstract:
We study the behavior of the abstract sectional category in the Quillen, the Strom and the Mixed proper model structures on topological spaces and prove that, under certain reasonable conditions, all of them coincide with the classical notion. As a result, the same conclusions hold for the abstract Lusternik-Schnirelmann category and the abstract topological complexity of a space.