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7. Notions of countability
Countability (resp. uncountability) is a concept that deals with the existence and properties of a countable (resp. uncountable) set in a topological space (Cantor, 1874, 1878, 1883).
A countable separated topological space T 3 is separated T 4 (p. 183 of ).
7.1 Topological spaces with countable bases of neighborhoods
Definition (topological space with countable bases of neighborhoods (Hausdorff, 1914)). A topological space has a countable basis...
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Notions of countability
Notions of compactness
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