Perfect set properties in models of ZF

Carlos Augusto Di Prisco; Franklin C. Galindo

Fundamenta Mathematicae (2010)

  • Volume: 208, Issue: 3, page 249-262
  • ISSN: 0016-2736

Abstract

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We study several perfect set properties of the Baire space which follow from the Ramsey property ω ( ω ) ω . In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.

How to cite

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Carlos Augusto Di Prisco, and Franklin C. Galindo. "Perfect set properties in models of ZF." Fundamenta Mathematicae 208.3 (2010): 249-262. <http://eudml.org/doc/282866>.

@article{CarlosAugustoDiPrisco2010,
abstract = {We study several perfect set properties of the Baire space which follow from the Ramsey property $ω → (ω)^\{ω\}$. In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.},
author = {Carlos Augusto Di Prisco, Franklin C. Galindo},
journal = {Fundamenta Mathematicae},
keywords = {perfect set properties; Baire space; Ramsey property},
language = {eng},
number = {3},
pages = {249-262},
title = {Perfect set properties in models of ZF},
url = {http://eudml.org/doc/282866},
volume = {208},
year = {2010},
}

TY - JOUR
AU - Carlos Augusto Di Prisco
AU - Franklin C. Galindo
TI - Perfect set properties in models of ZF
JO - Fundamenta Mathematicae
PY - 2010
VL - 208
IS - 3
SP - 249
EP - 262
AB - We study several perfect set properties of the Baire space which follow from the Ramsey property $ω → (ω)^{ω}$. In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.
LA - eng
KW - perfect set properties; Baire space; Ramsey property
UR - http://eudml.org/doc/282866
ER -

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