Geodesic
On strategies for selection games related to countable dimension
Filomat, Tome 36 (2022) no. 19, p. 6503

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DOI

Two selection games from the literature, G c (O, O) and G 1 (O zd , O), are known to characterize countable dimension among certain spaces. This paper studies their perfect-and limited-information strategies , and investigates issues related to non-equivalent characterizations of zero-dimensionality for spaces that are not both separable and metrizable. To relate results on zero-dimensional and finite-dimensional spaces, a generalization of Telgársky's proof that the point-open and finite-open games are equivalent is demonstrated.
DOI : 10.2298/FIL2219503C
Classification : 54F45, 91A44
Keywords: Selection games, strategies, dimension 
Christopher Caruvana; Steven Clontz. On strategies for selection games related to countable dimension. Filomat, Tome 36 (2022) no. 19, p. 6503 . doi: 10.2298/FIL2219503C
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     author = {Christopher Caruvana and Steven Clontz},
     title = {On strategies for selection games related to countable dimension},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
     number = {19},
     doi = {10.2298/FIL2219503C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2219503C/}
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