1 citations · 1 across the 4 of their papers we have counts for
6 papers
On continuous polynomials of the Macías space
Jhixon Macías
Let be the set of natural numbers. The Macías space is the topological space where is generated by the collection of sets $σ_n…
On self-homeomorphisms of the Macías space
Jhixon Macías
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.
A note on the Macías topology
Jhixon Macías, Reyes Ortiz
In this paper, we study some properties of the closure operator in the Macías topology on infinite integral domains. Moreover, under certain conditions, we present topological proo…
The Macias topology on integral domains
Jhixon Macías
In this manuscript a recent topology on the positive integers generated by the collection of where is generalized over integral d…
Another Topological Proof of the Infinitude of Prime Numbers
Jhixon Macías
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…
On a Special Case of Dirichlet's Theorem
Jhixon Macías
Let be a prime number, and a positive integer such that . We prove, without invoking Dirichlet's theorem, that the arithmetic progression $p\left(\mathbf{N}\cu…