ON s-IMAGES OF LOCALLY SEPARABLE METRIC SPACES

Tran Van An; Nguyen Van Dung

Tran Van An
Nguyen Van Dung

Keywords: s-map, cs-map, network, k-network, cfp-cover, cfp-network, cs-network, cs∗-network, sequence-covering, compact-covering, pseudo-sequence-covering, subsequencecovering, sequentially-quotient.

Abstract

In this paper we characterize compact-covering (resp. pseudo-sequencecovering, subsequence-covering, sequentially-quotient) s-images of locally separable metric spaces by certain point-countable covers