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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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