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Journal of the London Mathematical Society 1994 49(3):569-580; doi:10.1112/jlms/49.3.569
© 1994 by London Mathematical Society
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© The London Mathematical Society

Somewhere Trivial Autohomeomorphisms

Saharon Shelah and Juris Steprans

Department of Mathematics, Hebrew University Jerusalem 91904, Israel
Faculty of Pure and Applied Science, York University 4700 Keele Street, North York, Ontario, Canada M3J 1P3

Received 31 October 1991. Revision received 30 September 1992.

It is shown to be consistent that there is a non-trivial autohomeomorphism of ßN/N while all such autohomeomorphisms are trivial on some open set. The model used is one due to Velickovic in which, coincidentally, Martin's Axiom also holds.

This research was completed while the first author was supported by the BSF and Rutgers University and the second author by NSERC and Rutgers University. This is publication Number 427 in the first author's list of publications.


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