1 citations · 1 across the 5 of their papers we have counts for
5 papers
Rational Homotopy in Pseudotopological Spaces
Jonathan Treviño-Marroquín
Pseudotopological spaces are the Cartesian closed hull of the category of Čech closure spaces. In this paper, we give a direct proof that the model category of the pseudotopologica…
Graphs and Their Clique Complexes Are Pseudotopological Weakly Homotopy Equivalent
Jonathan Treviño-Marroquín
We establish a connection between the graphs and their geometric realizations of their clique complexes, proving that graphs with their canonical pseudotopological structure, are w…
Semi-coarse Spaces: Fundamental Groupoid and the van Kampen Theorem
Jonathan Treviño-Marroquín
In algebraic topology, the fundamental groupoid is a classical homotopy invariant which is defined using continuous maps from the closed interval to a topological space. In this pa…
Universal Coverings for Limit and Pseudotopological Spaces
Jonathan Treviño-Marroquín
Limit and Pseudotopological spaces are two generalizations of topological spaces which are defined by indicating what filters converge under some axioms. In this article, we introd…
Semi-coarse Spaces, Homotopy and Homology
Antonio Rieser, Jonathan Treviño-Marroquín
We begin the study the algebraic topology of semi-coarse spaces, which are generalizations of coarse spaces that enable one to endow non-trivial `coarse-like' structures to compact…