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Spread and local properties


Author: Basil Coutant
Journal: Proc. Amer. Math. Soc. 112 (1991), 893-898
MSC: Primary 54A25; Secondary 03E50
MathSciNet review: 1045132
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Abstract: A technique for combining the spread of a space and several local properties is exploited to obtain decompositions of a space and cardinal function bounds on the size and weight. It is shown that a locally countable set is the union of $ {\omega _1}$ discrete sets and that under $ MA\left( {{\omega _1}} \right)$ the weight of a manifold is equal to its spread.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1045132-7
Keywords: Cardinality of a space, locally countable, locally second countable, nonmetrizable manifolds, spread, $ S/L$-spaces, weight of a space
Article copyright: © Copyright 1991 American Mathematical Society