A new method for compactification with the help of order topology and limit point

TL;DR

This paper presents a novel compactification method for topological spaces using order topology and ordinal numbers, leveraging limit points and homotopy concepts to enhance separation axioms.

Contribution

It introduces a new compactification technique based on order topology and ordinal numbers, integrating limit points and homotopy for improved separation.

Findings

New compactification method developed

Utilizes order topology and ordinal numbers

Incorporates homotopy for separation axioms

Abstract

In this paper, we introduce a new method for compactification of a topological space by order topology and through ordinal numbers. The idea behind our approach originates from the definition of a limit point, and then we try to find an intuition for this concept. Finally, we utilise the Homotopy concept for separation Axiom