Property preservation and invariance
Metric Spaces I. Basic Notions

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Property preservation and invariance


Metric Spaces I. Basic Notions

Author : Jean-Charles PINOLI

Publication date: July 10, 2018 | Lire en français

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11.  Property preservation and invariance

Preservations and invariances of topological properties (separateness, countability, compactness and connectedness) of topological spaces are covered in [AF97] and naturally apply to metric spaces.

11.1  Bornitude

A uniformly continuous application preserves bornitude (p. 162 of

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