Title of article
Neighborhood assignments and cardinal functions: a unified approach to metrization and uniformity
Author/Authors
Hodel، نويسنده , , R.E.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1998
Pages
26
From page
31
To page
56
Abstract
We use neighborhood assignments and cardinal functions to give a unified approach to metrizability and uniformity. This leads to a number of characterizations of m(X), the metrizability degree of X, u(X), the uniform weight of X, and w(X), the weight of X. For X normal (and regular), m(X) = u(X); it is unknown whether this result extends to completely regular spaces.
Keywords
Symmetrizable spaces , Metrization theorem , Quasi-proximity and proximity spaces , Uniform and quasi-uniform spaces , Uniform weight , Metrizability degree , Weight , Totally bounded uniformity , Cardinal functions
Journal title
Topology and its Applications
Serial Year
1998
Journal title
Topology and its Applications
Record number
1575975
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