Notions of countability
Metric Spaces I. Basic Notions

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Notions of countability


Metric Spaces I. Basic Notions

Author : Jean-Charles PINOLI

Publication date: July 10, 2018 | Lire en français

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6. Notions of countability

Theorem (Sierpiński, 1920). Every infinitely countable metric space with no isolated points is homeomorphic to with its usual topology (p. 328 of ).

6.1 Countable bases of neighborhoods

A metric space has countable bases of neighborhoods (p. 102 of

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