Possibly there is no uniformly completely Ramsey null set of size 2 ω

Andrzej Nowik

Colloquium Mathematicae (2002)

  • Volume: 93, Issue: 2, page 251-258
  • ISSN: 0010-1354

Abstract

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We show that under the axiom C P A c u b e there is no uniformly completely Ramsey null set of size 2 ω . In particular, this holds in the iterated perfect set model. This answers a question of U. Darji.

How to cite

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Andrzej Nowik. "Possibly there is no uniformly completely Ramsey null set of size $2^{ω}$." Colloquium Mathematicae 93.2 (2002): 251-258. <http://eudml.org/doc/284552>.

@article{AndrzejNowik2002,
abstract = {We show that under the axiom $CPA_\{cube\}$ there is no uniformly completely Ramsey null set of size $2^\{ω\}$. In particular, this holds in the iterated perfect set model. This answers a question of U. Darji.},
author = {Andrzej Nowik},
journal = {Colloquium Mathematicae},
keywords = {uniformly completely Ramsey null sets; CPA axiom; iterated perfect set model; sets; wQN sets},
language = {eng},
number = {2},
pages = {251-258},
title = {Possibly there is no uniformly completely Ramsey null set of size $2^\{ω\}$},
url = {http://eudml.org/doc/284552},
volume = {93},
year = {2002},
}

TY - JOUR
AU - Andrzej Nowik
TI - Possibly there is no uniformly completely Ramsey null set of size $2^{ω}$
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 2
SP - 251
EP - 258
AB - We show that under the axiom $CPA_{cube}$ there is no uniformly completely Ramsey null set of size $2^{ω}$. In particular, this holds in the iterated perfect set model. This answers a question of U. Darji.
LA - eng
KW - uniformly completely Ramsey null sets; CPA axiom; iterated perfect set model; sets; wQN sets
UR - http://eudml.org/doc/284552
ER -

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