A space X is sequentially separable if there is a countable subset D of X such that every point of X is the limit of a sequence of points from D. Neither “sequential + separable” nor “sequentially separable” implies the other. Some examples of this are presented and some conditions under which one of the two implies the other are discussed. A selective version of sequential separability is also considered
Sequential plus separable vs sequentially separable and another variation on selective separability
BONANZINGA, Maddalena;
2013-01-01
Abstract
A space X is sequentially separable if there is a countable subset D of X such that every point of X is the limit of a sequence of points from D. Neither “sequential + separable” nor “sequentially separable” implies the other. Some examples of this are presented and some conditions under which one of the two implies the other are discussed. A selective version of sequential separability is also consideredFile in questo prodotto:
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