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Sequential + separable vs sequentially separable and another variation on selective separability |
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| Authors: | Angelo Bella Maddalena Bonanzinga Mikhail Matveev |
| Affiliation: | 1. Dipartimento di Matematica, Cittá Universitaria, Viale A. Doria 6, 98125, Catania, Italy 2. Dipartimento di Matematica, Università di Messina, Viale F. Stagno d’Alcontres 31, 98166, Messina, Italy |
| Abstract: | 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. |
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