Games and Metrisability of Manifolds
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Joint committee of the New Zealand Mathematical Society and the Department of Mathematics of the University of Auckland.
Abstract
Using topological games we investigate connections between properties of topological spaces and their spaces of continuous functions with the compact-open topology. This leads to new criteria for metrisability of a manifold. We show that a manifold M is metrisable if and only if a winning strategy applies to certain topological games played on C_k(M). We also show that M is metrisable if and only if C_k(M) is Baire, and even if and only if it is Volterra.Description
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New Zealand Journal of Mathematics, vol.37(1), pp.1 - 8
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New Zealand Journal of Mathematics is an open access journal. Authors retain the right to place his/her publication version of the work on a personal website or institutional repository for non commercial purposes. The definitive version was published in (see Citation). The original publication is available at (see Publisher’s Version).