Some remarks on a game of Telgársky

P. Szewczak

doi:10.1016/j.topol.2010.10.011

Some remarks on a game of Telgársky

P. Szewczak

Cardinal Stefan Wyszynski University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In [3] R. Telgársky (1975) asked: does the first player have a winning strategy in the game G(F,X×X) if the first player has a winning strategy in the game G(F,X)? I give a positive answer to this question and prove that this result is also true for spaces where the first player has a winning strategy in game G(K,X) where K=1, F, C, for σC if X is P-space and for DC if X is collectionwise-normal space. The last result is related to the Telgársky's (1983) conjecture discussed in [1]. These results are not true for infinite product of spaces.

Original language	English
Pages (from-to)	177-182
Number of pages	6
Journal	Topology and its Applications
Volume	158
Issue number	2
DOIs	https://doi.org/10.1016/j.topol.2010.10.011
State	Published - 1 Feb 2011
Externally published	Yes

Keywords

Paracompact space
Telgársky's game

Access to Document

10.1016/j.topol.2010.10.011

Cite this

@article{91ac650277e444e9821233f9858aa8d0,

title = "Some remarks on a game of Telg{\'a}rsky",

abstract = "In [3] R. Telg{\'a}rsky (1975) asked: does the first player have a winning strategy in the game G(F,X×X) if the first player has a winning strategy in the game G(F,X)? I give a positive answer to this question and prove that this result is also true for spaces where the first player has a winning strategy in game G(K,X) where K=1, F, C, for σC if X is P-space and for DC if X is collectionwise-normal space. The last result is related to the Telg{\'a}rsky's (1983) conjecture discussed in [1]. These results are not true for infinite product of spaces.",

keywords = "Paracompact space, Telg{\'a}rsky's game",

author = "P. Szewczak",

year = "2011",

month = feb,

day = "1",

doi = "10.1016/j.topol.2010.10.011",

language = "אנגלית",

volume = "158",

pages = "177--182",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier BV",

number = "2",

}

TY - JOUR

T1 - Some remarks on a game of Telgársky

AU - Szewczak, P.

PY - 2011/2/1

Y1 - 2011/2/1

N2 - In [3] R. Telgársky (1975) asked: does the first player have a winning strategy in the game G(F,X×X) if the first player has a winning strategy in the game G(F,X)? I give a positive answer to this question and prove that this result is also true for spaces where the first player has a winning strategy in game G(K,X) where K=1, F, C, for σC if X is P-space and for DC if X is collectionwise-normal space. The last result is related to the Telgársky's (1983) conjecture discussed in [1]. These results are not true for infinite product of spaces.

AB - In [3] R. Telgársky (1975) asked: does the first player have a winning strategy in the game G(F,X×X) if the first player has a winning strategy in the game G(F,X)? I give a positive answer to this question and prove that this result is also true for spaces where the first player has a winning strategy in game G(K,X) where K=1, F, C, for σC if X is P-space and for DC if X is collectionwise-normal space. The last result is related to the Telgársky's (1983) conjecture discussed in [1]. These results are not true for infinite product of spaces.

KW - Paracompact space

KW - Telgársky's game

UR - https://www.scopus.com/pages/publications/78649631147

U2 - 10.1016/j.topol.2010.10.011

DO - 10.1016/j.topol.2010.10.011

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:78649631147

SN - 0166-8641

VL - 158

SP - 177

EP - 182

JO - Topology and its Applications

JF - Topology and its Applications

IS - 2

ER -

Some remarks on a game of Telgársky

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this