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Título:
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Topological realizations of groups in Alexandroff spaces
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Autores:
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Chocano Feito, Pedro José ;
Morón, Manuel A. ;
Romero Ruiz del Portal, Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2020-11-23
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Álgebra
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Materia = Ciencias: Matemáticas: Grupos (Matemáticas)
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/id/eprint/63263/1/chocano1.pdf
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