On the Space of <i>G</i>-Permutation Degree of Some Classes of Topological Spaces

Abstract

In this paper, we study the space of G-permutation degree of some classes of topological spaces and the properties of the functor SPGn of G-permutation degree. In particular, we prove: (a) If a topological space X is developable, then so is SPGnX; (b) If X is a Moore space, then so is SPGnX; (c) If a topological space X is an M1-space, then so is SPGnX; (d) If a topological space X is an M2-space, then so is SPGnX.

Keywords

• functor of permutation degree
• developable space
• Moore space
• M1-space
• M2-space
• Nagata space