Sequence-covering maps on submetrizable spaces

TL;DR

This paper investigates the properties of sequence-covering maps on submetrizable spaces, focusing on their behavior and characteristics within this class of topological spaces.

Contribution

It provides new insights into sequence-covering maps specifically on submetrizable spaces, addressing previously open questions.

Findings

Answered two open questions about sequence-covering maps on submetrizable spaces.

Established conditions under which sequence-covering maps exhibit certain properties.

Enhanced understanding of the structure of submetrizable spaces through these maps.

Abstract

A topological space is called a submetrizable if it can be mapped onto a metrizable topological space by a continuous one-to-one map. In this paper we answer two questions concerning sequence-covering maps on submetrizable spaces.