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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

is in $\mathfrak{M}$$ (see [Mackowiak 1979, Chapter 4, Section B, p. 16]).

Next: hereditarily decomposable Up: Definitions Previous: hereditary

Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30