Martin's axiom is consistent with the existence of nowhere trivial automorphisms

Saharon Shelah; Juris Steprans

doi:10.1090/S0002-9939-01-06280-3

Martin's axiom is consistent with the existence of nowhere trivial automorphisms

Saharon Shelah
, Juris Steprans

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Martin's Axiom does not imply that all automorphisms of P(ℕ)/[ℕ]^<N0 are somewhere trivial. An alternate method for obtaining models where every automorphism of P(ℕ)/[ℕ]^<N0 is somewhere trivial is explained.

Original language	English
Pages (from-to)	2097-2106
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	130
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9939-01-06280-3
State	Published - 2002

Keywords

Automorphism
Boolean algebra
Martin's Axiom

Access to Document

10.1090/S0002-9939-01-06280-3

Cite this

@article{6520bd630ec3416880992a29a8a73ee3,

title = "Martin's axiom is consistent with the existence of nowhere trivial automorphisms",

abstract = "Martin's Axiom does not imply that all automorphisms of P(ℕ)/[ℕ] are somewhere trivial. An alternate method for obtaining models where every automorphism of P(ℕ)/[ℕ] is somewhere trivial is explained.",

keywords = "Automorphism, Boolean algebra, Martin's Axiom",

author = "Saharon Shelah and Juris Steprans",

year = "2002",

doi = "10.1090/S0002-9939-01-06280-3",

language = "אנגלית",

volume = "130",

pages = "2097--2106",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "7",

}

TY - JOUR

T1 - Martin's axiom is consistent with the existence of nowhere trivial automorphisms

AU - Shelah, Saharon

AU - Steprans, Juris

PY - 2002

Y1 - 2002

N2 - Martin's Axiom does not imply that all automorphisms of P(ℕ)/[ℕ] are somewhere trivial. An alternate method for obtaining models where every automorphism of P(ℕ)/[ℕ] is somewhere trivial is explained.

AB - Martin's Axiom does not imply that all automorphisms of P(ℕ)/[ℕ] are somewhere trivial. An alternate method for obtaining models where every automorphism of P(ℕ)/[ℕ] is somewhere trivial is explained.

KW - Automorphism

KW - Boolean algebra

KW - Martin's Axiom

UR - https://www.scopus.com/pages/publications/0035994031

U2 - 10.1090/S0002-9939-01-06280-3

DO - 10.1090/S0002-9939-01-06280-3

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0035994031

SN - 0002-9939

VL - 130

SP - 2097

EP - 2106

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

Martin's axiom is consistent with the existence of nowhere trivial automorphisms

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this