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math.AT2020
On some topological realizations of groups and homomorphisms
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
Let be a homomorphism of groups, we construct a topological space such that its group of homeomorphisms is isomorphic to , its group of homotopy classes…
math.DS2020
Coincidence theorems for finite topological spaces
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
We adapt the definition of the Vietoris map to the framework of finite topological spaces and we prove some coincidence theorems. From them, we deduce a Lefschetz fixed point theor…