Document Type : Special Issue

Author

Department of Pure Mathematics&amp;lrm;, &amp;lrm;Faculty of Basic Sciences&amp;lrm;, &amp;lrm;University of Bojnord, &amp;lrm;Bojnord&amp;lrm;, &amp;lrm;Iran

10.22080/cjms.2020.18860.1518

Abstract

In this paper, considering the kth shape loop space for an HPol-expansion p of a pointed topological space (X; x), First we prove that Ωk commutes with the product under some conditions and then we show that Ωp, for a pro-discrete space (X; x) =lim(Xi; xi) of compact polyhedra. Finally, we conclude that these spaces are metric, second countable and separable.

Keywords