Spread and local properties
Author:
Basil Coutant
Journal:
Proc. Amer. Math. Soc. 112 (1991), 893898
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 discrete sets and that under the weight of a manifold is equal to its spread.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939199110451327
PII:
S 00029939(1991)10451327
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
