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math.AT2024
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…
math.AT2024★ 1 cited
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…
math.GN2024
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…