Filter games on ω and the dual ideal

Claude Laflamme, and Christopher C. Leary. "Filter games on ω and the dual ideal." Fundamenta Mathematicae 173.2 (2002): 159-173. <http://eudml.org/doc/282780>.

@article{ClaudeLaflamme2002,
abstract = {We continue the efforts to characterize winning strategies in various infinite games involving filters on the natural numbers in terms of combinatorial or structural properties of the given filter. Previous results in the literature included those games where player II responded with natural numbers, or finite subsets of natural numbers. In this paper we concentrate on games where player II responds with members of the dual ideal. We also give a summary of known results on filter games.},
author = {Claude Laflamme, Christopher C. Leary},
journal = {Fundamenta Mathematicae},
keywords = {winning strategies; infinite games; filters on the natural numbers},
language = {eng},
number = {2},
pages = {159-173},
title = {Filter games on ω and the dual ideal},
url = {http://eudml.org/doc/282780},
volume = {173},
year = {2002},
}

TY - JOUR
AU - Claude Laflamme
AU - Christopher C. Leary
TI - Filter games on ω and the dual ideal
JO - Fundamenta Mathematicae
PY - 2002
VL - 173
IS - 2
SP - 159
EP - 173
AB - We continue the efforts to characterize winning strategies in various infinite games involving filters on the natural numbers in terms of combinatorial or structural properties of the given filter. Previous results in the literature included those games where player II responded with natural numbers, or finite subsets of natural numbers. In this paper we concentrate on games where player II responds with members of the dual ideal. We also give a summary of known results on filter games.
LA - eng
KW - winning strategies; infinite games; filters on the natural numbers
UR - http://eudml.org/doc/282780
ER -