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arXiv · 1907.05654

Topological realizations of groups in Alexandroff spaces

P. J. Chocano·M. A. Morón·F. R. Ruiz del Portal
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Abstract

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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P. J. Chocano, M. A. Morón, F. R. Ruiz del Portal. 2020-07-07. Topological realizations of groups in Alexandroff spaces. https://arxiv.org/abs/1907.05654

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