The covering number for category and partition relations on $P_{\omega }\left(\lambda \right)$

Pierre Matet. "The covering number for category and partition relations on $P_{ω}(λ)$." Fundamenta Mathematicae 171.3 (2002): 235-247. <http://eudml.org/doc/282926>.

@article{PierreMatet2002,
abstract = {We show that cov(M) is the least infinite cardinal λ such that $P_ω(λ)$ (the set of all finite subsets of λ ) fails to satisfy a certain natural generalization of Ramsey’s Theorem.},
author = {Pierre Matet},
journal = {Fundamenta Mathematicae},
keywords = {covering for meager sets of reals; partition relations; Ramsey Theorem},
language = {eng},
number = {3},
pages = {235-247},
title = {The covering number for category and partition relations on $P_\{ω\}(λ)$},
url = {http://eudml.org/doc/282926},
volume = {171},
year = {2002},
}

TY - JOUR
AU - Pierre Matet
TI - The covering number for category and partition relations on $P_{ω}(λ)$
JO - Fundamenta Mathematicae
PY - 2002
VL - 171
IS - 3
SP - 235
EP - 247
AB - We show that cov(M) is the least infinite cardinal λ such that $P_ω(λ)$ (the set of all finite subsets of λ ) fails to satisfy a certain natural generalization of Ramsey’s Theorem.
LA - eng
KW - covering for meager sets of reals; partition relations; Ramsey Theorem
UR - http://eudml.org/doc/282926
ER -