Spread and local properties

Author:
Basil Coutant

Journal:
Proc. Amer. Math. Soc. **112** (1991), 893-898

MSC:
Primary 54A25; Secondary 03E50

DOI:
https://doi.org/10.1090/S0002-9939-1991-1045132-7

MathSciNet review:
1045132

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Abstract | References | Similar Articles | Additional Information

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 discrete sets and that under 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,
-spaces,
weight of a space

Article copyright:
© Copyright 1991
American Mathematical Society