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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…