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Decomposing topological spaces into two rigid homeomorphic subspaces

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Abstract

We prove thatR can be split into two homeomorphic parts each of which has no autohomeomorphism except the identity. Moreover, this holds for many separable normed vector spaces over the rationals.

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References

  1. S. Shelah,Results in mathematical logic, II, Abstr. Am. Math. Soc.4 (1983), 190.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Saharon Shelah

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  1. Saharon Shelah
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The author thanks Azriel Levy for completely rewriting this paper.

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Shelah, S. Decomposing topological spaces into two rigid homeomorphic subspaces. Israel J. Math. 63, 183–211 (1988). https://doi.org/10.1007/BF02765038

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  • DOI: https://doi.org/10.1007/BF02765038

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