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Somewhere Trivial Autohomeomorphisms
Author(s) -
Shelah Saharon,
Steprāns Juris
Publication year - 1994
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/49.3.569
Subject(s) - mathematics , set (abstract data type) , axiom of choice , axiom , zermelo–fraenkel set theory , combinatorics , pure mathematics , discrete mathematics , computer science , set theory , geometry , programming language
It is shown to be consistent that there is a non‐trivial autohomeomorphism of βN/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.