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

#### 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 considered
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11570/2558969`
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