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Decomposing topological spaces into two rigid homeomorphic subspaces
Authors:Saharon Shelah
Affiliation:(1) Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel
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. The author thanks Azriel Levy for completely rewriting this paper.
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