Jhixon Mac'ias

collaborators

5 papers

math.AT2025

A note on the MacÃas topology

Jhixon MacÃas, Reyes Ortiz

In this paper, we study some properties of the closure operator in the MacÃas topology on infinite integral domains. Moreover, under certain conditions, we present topological pro…

math.GN2025

On continuous polynomials of the MacÃas space

Jhixon MacÃas

Let $N$ be the set of natural numbers. The MacÃas space $M (N)$ is the topological space $(N, I ¨ _{M})$ where $I ¨ _{M}$ is generated by the collection of sets $…

math.GN2024

On self-homeomorphisms of the MacÃas space

Jhixon MacÃas

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

math.GN2024

The Macias topology on integral domains

Jhixon MacÃas

In this manuscript a recent topology on the positive integers generated by the collection of ${I ¨ _{n} : n \in N}$ where $I ¨ _{n} := {m : g cd (n, m) = 1}$ is generalized over integral…

math.NT2024

Another Topological Proof of the Infinitude of Prime Numbers

Jhixon MacÃas

We present a new topological proof of the infinitude of prime numbers with a new topology. Furthermore, in this topology, we characterize the infinitude of any non-empty subset of…

A note on the MacÃ­as topology

On continuous polynomials of the MacÃ­as space

On self-homeomorphisms of the MacÃ­as space

The Macias topology on integral domains

Another Topological Proof of the Infinitude of Prime Numbers

A note on the MacÃas topology

On continuous polynomials of the MacÃas space

On self-homeomorphisms of the MacÃas space