%0 Journal Article
%A Chocano Feito, Pedro José
%A Alonso Morón, Manuel
%A Romero Ruiz Del Portal, Francisco
%T Topological realizations of groups in Alexandroff spaces
%D 2020
%@ 1578-7303
%U https://hdl.handle.net/20.500.14352/7571
%X Given a group G, we provide a constructive method to get infinitely many (non-homotopy-equivalent) Alexandroff spaces, such that the group of autohomeomorphisms, the group of homotopy classes of self-homotopy equivalences and the pointed version are isomorphic to G. As a result, any group G can be realized as the group of homotopy classes of self-homotopy equivalences of a topological space X, for which there exists a CW complex K(X) and a weak homotopy equivalence from K(X) to X.
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