On self-homeomorphisms of the Mac\'ias space

TL;DR

This paper investigates the properties of self-homeomorphisms on the Macías topology over natural numbers, revealing that this space lacks topological rigidity, which has implications for understanding its structural flexibility.

Contribution

The paper provides a detailed analysis of self-homeomorphisms on the Macías space and establishes that it is not topologically rigid, a novel insight into its topological structure.

Findings

The Macías space admits non-trivial self-homeomorphisms.

It is demonstrated that the space is not topologically rigid.

The results contribute to the understanding of the space's structural properties.

Abstract

In this paper, we study some properties of self-homeomorphisms on the Mac\'ias topology over $\mathbb{N}$, and we demonstrate that this space is not topologically rigid.