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A Note on Isomorphic Groups and Nonhomeomorphic Spaces

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Abstract

Given a Tychonov space X we can construct another space Y with the same group of homeomorphisms such that X and Y are, in some sense, "almost arbitrarily different".

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Authors and Affiliations

  1. Dep. Matemática Aplicada a Los Recursos Naturales E.T.S.I. Montes, Universidad Politécnica, 28040, Madrid, Spain

    E. Cuchillo-Ibáñez

  2. Dep. Matemática Aplicada a Los Recursos Naturales E.T.S.I, Montes Universidad Politécnica, 28040, Madrid, Spain

    M. A. Morón

  3. Dep. Geometría y Topología Facultad de CC.Matemáticas, Universidad Complutense, 28040, Madrid, Spain

    F. R. Ruíz Del Portal

Authors
  1. E. Cuchillo-Ibáñez
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  2. M. A. Morón
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  3. F. R. Ruíz Del Portal
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Cuchillo-Ibáñez, E., Morón, M.A. & Del Portal, F.R.R. A Note on Isomorphic Groups and Nonhomeomorphic Spaces. Acta Mathematica Hungarica 82, 297–300 (1999). https://doi.org/10.1023/A:1006636108100

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  • DOI: https://doi.org/10.1023/A:1006636108100

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