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Sequential + separable vs sequentially separable and another variation on selective separability
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Journal Article
Sequential + separable vs sequentially separable and another variation on selective separability
2013
Overview
A space X is sequentially separable if there is a countable D ⊂ 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.
Publisher
Versita,De Gruyter Brill Sp. z o.o., Paradigm Publishing Services,De Gruyter
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