Ideals induced by Tsirelson submeasures

Ilijas Farah

Fundamenta Mathematicae (1999)

  • Volume: 159, Issue: 3, page 243-258
  • ISSN: 0016-2736

Abstract

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We use Tsirelson’s Banach space ([2]) to define an P-ideal which refutes a conjecture of Mazur and Kechris (see [12, 9, 8]).

How to cite

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Farah, Ilijas. "Ideals induced by Tsirelson submeasures." Fundamenta Mathematicae 159.3 (1999): 243-258. <http://eudml.org/doc/212332>.

@article{Farah1999,
abstract = {We use Tsirelson’s Banach space ([2]) to define an $F_σ$ P-ideal which refutes a conjecture of Mazur and Kechris (see [12, 9, 8]).},
author = {Farah, Ilijas},
journal = {Fundamenta Mathematicae},
keywords = {Borel-cardinality; quotients over Borel equivalence relations; Polish space; Borel ideals; trichotomy conjecture; dichotomy conjecture; Tsirelson's Banach space; -ideal},
language = {eng},
number = {3},
pages = {243-258},
title = {Ideals induced by Tsirelson submeasures},
url = {http://eudml.org/doc/212332},
volume = {159},
year = {1999},
}

TY - JOUR
AU - Farah, Ilijas
TI - Ideals induced by Tsirelson submeasures
JO - Fundamenta Mathematicae
PY - 1999
VL - 159
IS - 3
SP - 243
EP - 258
AB - We use Tsirelson’s Banach space ([2]) to define an $F_σ$ P-ideal which refutes a conjecture of Mazur and Kechris (see [12, 9, 8]).
LA - eng
KW - Borel-cardinality; quotients over Borel equivalence relations; Polish space; Borel ideals; trichotomy conjecture; dichotomy conjecture; Tsirelson's Banach space; -ideal
UR - http://eudml.org/doc/212332
ER -

References

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