Notions of countability
Topological Spaces I. Basic Notions

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Notions of countability


Topological Spaces I. Basic Notions

Author : Jean-Charles PINOLI

Publication date: July 10, 2018, Review date: May 7, 2021 | Lire en français

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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...

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