Martin’s Axiom is consistent with the existence of nowhere trivial automorphisms
Authors:
Saharon Shelah and Juris Steprāns
Journal:
Proc. Amer. Math. Soc. 130 (2002), 2097-2106
MSC (1991):
Primary 03E50, 03E35
DOI:
https://doi.org/10.1090/S0002-9939-01-06280-3
Published electronically:
December 27, 2001
MathSciNet review:
1896046
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Martin’s Axiom does not imply that all automorphisms of ${\mathcal P}(\mathbb {N})/ [\mathbb {N}]^{<\aleph _0}$ are somewhere trivial. An alternate method for obtaining models where every automorphism of ${\mathcal P}(\mathbb {N})/[\mathbb {N}]^{<\aleph _0}$ is somewhere trivial is explained.
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Additional Information
Saharon Shelah
Affiliation:
Department of Mathematics, Rutgers University, Hill Center, Piscataway, New Jersey
Address at time of publication:
Institute of Mathematics, Hebrew University, Givat Ram, Jerusalem 91904, Israel
MR Author ID:
160185
ORCID:
0000-0003-0462-3152
Email:
shelah@math.rutgers.edu
Juris Steprāns
Affiliation:
Department of Mathematics, York University, 4700 Keele Street, Toronto, Ontario, Canada M3J 1P3
Email:
steprans@yorku.ca
Keywords:
Boolean algebra,
Martin’s Axiom,
automorphism
Received by editor(s):
October 12, 2000
Received by editor(s) in revised form:
January 12, 2001
Published electronically:
December 27, 2001
Additional Notes:
The research of the first author was supported by The Israel Science Foundation founded by the Israel Academy of Sciences and Humanities, and by NSF grant No. NSF-DMS97-04477. Research of the second author for this paper was partially supported by NSERC of Canada. This is paper number 735 in the first author’s personal listing
Communicated by:
Alan Dow
Article copyright:
© Copyright 2001
American Mathematical Society
