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On self-homeomorphisms of the Macías space

Jhixon Macías

Abstract

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

On self-homeomorphisms of the Macías space

Abstract

In this paper, we study some properties of self-homeomorphisms on the Macías topology over , and we demonstrate that this space is not topologically rigid.

Paper Structure

This paper contains 3 sections, 11 theorems, 25 equations.

Key Result

Theorem 2.1

In $M(\mathbb{N})$, the following propositions hold:

Theorems & Definitions (23)

  • Theorem 2.1: Jhixon2023,jhixon2024,MACIAS2024109070
  • Example 3.1
  • Proposition 3.2
  • Lemma 3.3
  • proof
  • Lemma 3.4
  • proof
  • Lemma 3.5
  • proof
  • Remark 3.6
  • ...and 13 more