2026-06-07T23:45:02Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/75712024-07-09T12:52:10Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Chocano Feito, Pedro José
author
Alonso Morón, Manuel
author
Romero Ruiz Del Portal, Francisco
2023-06-17T08:56:07Z
2023-06-17T08:56:07Z
2020-11-23
Chocano Feito, P. J., Alonso Morón, M. y Romero Ruiz Del Portal, F. «Topological Realizations of Groups in Alexandroff Spaces». Revista de La Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, vol. 115, n.o 1, enero de 2021, p. 25. DOI.org (Crossref), https://doi.org/10.1007/s13398-020-00964-7.
1578-7303
10.1007/s13398-020-00964-7
https://hdl.handle.net/20.500.14352/7571
https://doi.org/10.1007/s13398-020-00964-7
https://link.springer.com/article/10.1007/s13398-020-00964-7
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.
eng
Topological realizations of groups in Alexandroff spaces
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