Article ID Journal Published Year Pages File Type
8903984 Topology and its Applications 2018 25 Pages PDF
Abstract
A variation of the proximal infinite game and a class of spaces more general than the proximal spaces are introduced. If the first player has a winning strategy in this variation then the space is pseudonormal. If the second player does not have a winning strategy then the space is an Arhangel'skii α2 space. This new version of the proximal game is used to show that a Σ-product of ω-bounded topological manifolds is pseudonormal.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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