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Homeomorphisms of Manifolds with Prescribed Behaviour on Large Dense Sets
Author(s) -
Steprans J.,
Watson W. S.
Publication year - 1987
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/19.4.305
Subject(s) - bijection , mathematics , manifold (fluid mechanics) , pure mathematics , combinatorics , mechanical engineering , engineering
It is shown that MA ℵ 1 for σ‐centred partial orders implies for any compact n ‐manifold M ( n > 1) and any two ℵ 1 ‐dense subsets of M there is an autohomeomorphism of M which is a bijection between the two ℵ 1 ‐dense sets.