Every Lusin set is undetermined in the point-open game
Fundamenta Mathematicae (1994)
- Volume: 144, Issue: 1, page 43-54
- ISSN: 0016-2736
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topRecław, Ireneusz. "Every Lusin set is undetermined in the point-open game." Fundamenta Mathematicae 144.1 (1994): 43-54. <http://eudml.org/doc/212014>.
@article{Recław1994,
abstract = {We show that some classes of small sets are topological versions of some combinatorial properties. We also give a characterization of spaces for which White has a winning strategy in the point-open game. We show that every Lusin set is undetermined, which solves a problem of Galvin.},
author = {Recław, Ireneusz},
journal = {Fundamenta Mathematicae},
keywords = {point-open games; Lusin set; additivity of measure; γ-set; gamma set; Hurewitz property; Menger property; -sets; classes of small sets; point-open game},
language = {eng},
number = {1},
pages = {43-54},
title = {Every Lusin set is undetermined in the point-open game},
url = {http://eudml.org/doc/212014},
volume = {144},
year = {1994},
}
TY - JOUR
AU - Recław, Ireneusz
TI - Every Lusin set is undetermined in the point-open game
JO - Fundamenta Mathematicae
PY - 1994
VL - 144
IS - 1
SP - 43
EP - 54
AB - We show that some classes of small sets are topological versions of some combinatorial properties. We also give a characterization of spaces for which White has a winning strategy in the point-open game. We show that every Lusin set is undetermined, which solves a problem of Galvin.
LA - eng
KW - point-open games; Lusin set; additivity of measure; γ-set; gamma set; Hurewitz property; Menger property; -sets; classes of small sets; point-open game
UR - http://eudml.org/doc/212014
ER -
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