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Infinite games and quasi-uniform box products
Author(s) -
Hope Sabao,
Olivier Olela Otafudu
Publication year - 2019
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2019.9679
Subject(s) - mathematics , space (punctuation) , pure mathematics , line (geometry) , combinatorics , discrete mathematics , geometry , computer science , operating system
The uniform box product is the weakening of the well-known  box product problem which asks whether the box product of certain spaces is normal or even paracompact. In this talk, we present the quasi-uniform box product, a concept that generalises the uniform box product to the frame-work of quasi-uniform spaces. We then use an infinite game played in a quasi-uniform space to show that the countable quasi-uniform box product of a Fort-space is pairwise collectionwise normal, countably  pairwise paracompact and pairwise collectionwise Hausdorff.Infinite games and quasi-uniform box products

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