COMPLETELY REGULAR MAPS AND LUSTERNIK-SCHNIRELMANN CATEGORY
In this paper, we relate completely regular maps to a version of the Lusternik-Schnirelmann category of maps. We define the new notion of of a map and show that if and only if X is a generalized co-H-space. Furthermore, we examine the relation between and the Berstein-Ganea category and prove, among other results, that The findings of this paper generalize and extend some results in the literature.
Lusternik-Schnirelmann category, completely regular maps, Polish spaces.