Person:
Chocano Feito, Pedro José

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First Name
Pedro José
Last Name
Chocano Feito
URI
https://hdl.handle.net/20.500.14352/86984
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Álgebra, Geometría y Topología
Area
Álgebra
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Author: Chocano Feito, Pedro José × Subject: 512.541.5 ×

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    Topological realizations of groups in Alexandroff spaces
    (Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020) Chocano Feito, Pedro José; Alonso Morón, Manuel; Romero Ruiz Del Portal, Francisco
    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.