Article | REF: AF97 V1

Topological Spaces I. Basic Notions

Author: Jean-Charles PINOLI

Publication date: July 10, 2018, Review date: May 7, 2021

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12.  Preservation and invariance of topological properties

12.1  Types of topological properties

A property of a topological space is topologically invariant if it is possessed by any homeomorphic topological space (p. 88 of ), i.e. a property preserved by homeomorphism (p. 46 of ). Topological properties fall into several main categories: hereditary, productive, divisible, local/global, absolute/relative, expansive/contractible (p. 133 of

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Preservation and invariance of topological properties
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