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...

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Bibliography

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and Extensions, - North Holland, 331 pages (1993).
(2) - ADAMS (C.), FRANZOSA (R.) - Introduction to Topology Pure and Applied, - Pearson, 507 pages (2008).
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