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 T3 is separated T4 (p. 183 of ).
Definition (topological space with countable bases of neighborhoods (Hausdorff, 1914)). A topological space has a countable basis of neighborhoods (1st countable topological...
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Notions of countability
Bibliography
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(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and Extensions, - North Holland, 331 pages (1993).
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(2) - ADAMS (C.), FRANZOSA (R.) - Introduction to Topology Pure and Applied, - Pearson, 507 pages (2008).
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(3)...
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