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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.AT2019
Topological realizations of groups in Alexandroff spaces
P. J. Chocano, M. A. Morón, F. R. Ruiz del Portal
We prove that every group can be realized as the homeomorphism group and as the group of (pointed) homotopy classes of (pointed) self-homotopy equivalences of infinitely many non-h…