On extension functions for image space with different separation axioms

TL;DR

This paper investigates conditions under which functions can be extended continuously or almost continuously from a space X to an image space Y that satisfies various separation axioms.

Contribution

It provides sufficient conditions for extending functions to spaces with different separation axioms, enhancing understanding of extension problems in topology.

Findings

Established criteria for continuous extensions.

Analyzed almost continuous extensions.

Applied results to spaces with various separation axioms.

Abstract

In this paper we study a sufficient conditions for continuous and almost continuous extensions of f to space X for an image space Y with different separation axioms.