Decomposing topological spaces into two rigid homeomorphic subspaces
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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.
KeywordsDense Subset Convergent Sequence Double Sequence Normed Vector Space Recursion Step
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- 1.S. Shelah,Results in mathematical logic, II, Abstr. Am. Math. Soc.4 (1983), 190.Google Scholar