Israel Journal of Mathematics

, Volume 63, Issue 2, pp 183–211 | Cite as

Decomposing topological spaces into two rigid homeomorphic subspaces

  • Saharon Shelah


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.


Dense Subset Convergent Sequence Double Sequence Normed Vector Space Recursion Step 
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Copyright information

© The Weizmann Science Press of Israel 1988

Authors and Affiliations

  • Saharon Shelah
    • 1
  1. 1.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael

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