Topology Proceedings
Document # baak-16
Electronic Version 24 Summer (1999) |
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Covering Properties and Metrisation of Manifolds 2
David Gauld and M.K. Vamanamurthy
There are many conditions equivalent to metrisability for a topological manifold which are not equivalent to metrisability for topological spaces in general. What are the weakest such? We show that a number of weak covering properties which are equivalent to metrisability for a manifold, for example metaLindelöf, may be further weakened by considering only covers of cardinality the first uncountable ordinal. Extensions to higher cardinals are discussed.
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Topology Proceedings Electronic Version
Copyright © 2001
Nipissing University
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Date published electronically: March 5, 2001.