We characterize countable dimensionality and strong countable dimensionality
by means of an infinite game.Comment: 10 page

Babinkostova, Liljana

Scheepers, Marion

English

arXiv

We consider player TWO of the game G1(A,B) when A and B are special classes of open covers of metrizable spaces. Our results give game-theoretic characterizations of the notions of a countable dimensional and of a strongly countable dimensional metric spaces

Università del Salento: ESE - Salento University Publishing

Selection principles and countable dimension

ESE - Salento University Publishing

http://siba-ese.unile.it/index.php/notemat/article/download/543/406

Selection principles and countable dimension

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Università del Salento: ESE - Salento University Publishing

ESE - Salento University Publishing