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hereditarily

Let \mathfrak{M}$ be a class of mappings between continua. A mapping f: X \to Y$ between continua is said to be hereditarily \mathfrak{M}$ provided that its restriction to any subcontinuum of the domain X$ is in \mathfrak{M}$ (see [Mackowiak 1979, Chapter 4, Section B, p. 16]).
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Next: hereditarily decomposable Up: Definitions Previous: hereditary
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30