Topological realizations of groups in Alexandroff spaces
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-homotopy-equivalent Alexandroff spaces.
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| Veröffentlicht in: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2021, Vol.115 (1), Article 25 |
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| container_issue | 1 |
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| container_title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas |
| container_volume | 115 |
| creator | Chocano, Pedro J. Morón, Manuel A. Ruiz del Portal, Francisco |
| description | 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-homotopy-equivalent Alexandroff spaces. |
| doi_str_mv | 10.1007/s13398-020-00964-7 |
| format | Article |
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| ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2021, Vol.115 (1), Article 25 |
| issn | 1578-7303 1579-1505 |
| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Applications of Mathematics Equivalence Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical Topology |
| title | Topological realizations of groups in Alexandroff spaces |
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