Abstract

In this paper, pseudo-sequence-covering $\pi$ images and pseudo-sequence-covering, $s$, $\pi$ images of locally separable metric spaces are discussed, their internal characterizations are given, which extends and improves the study of images of locally separable metric spaces.

Keywords: Pseudo-sequence-covering mappings; $\pi$ mappings; $wcs$-covers; point-star networks.

MSC: 54E20, 54E40, 54D55

Pages:  57$-$64     

Volume  59 ,  Issue  1$-$2 ,  2007