Countable Dimensionality, a Game and the Haver Property

Liljana Babinkostova; Marion Scheepers

doi:10.1090/proc/15492

Countable Dimensionality, a Game and the Haver Property

Liljana Babinkostova
, Marion Scheepers

Mathematics Department

Boise State University

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

1 Scopus citations

Abstract

We characterize the countable dimensionality of metric spaces in terms of a game-theoretic version of a covering property of Haver, and conjecture a game-theoretic equivalent of Haver’s covering property for metric spaces.

Original language	American English
Pages (from-to)	3939
Number of pages	1
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	9
DOIs	https://doi.org/10.1090/proc/15492
State	Published - Sep 2021

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title = "Countable Dimensionality, a Game and the Haver Property",

abstract = " We characterize the countable dimensionality of metric spaces in terms of a game-theoretic version of a covering property of Haver, and conjecture a game-theoretic equivalent of Haver{\textquoteright}s covering property for metric spaces.",

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AB - We characterize the countable dimensionality of metric spaces in terms of a game-theoretic version of a covering property of Haver, and conjecture a game-theoretic equivalent of Haver’s covering property for metric spaces.

UR - https://www.scopus.com/pages/publications/85111190060

UR - https://scholarworks.boisestate.edu/math_facpubs/237

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JO - Proceedings of the American Mathematical Society

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Countable Dimensionality, a Game and the Haver Property

Abstract

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