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hereditary

A property of a continuum X$ is said to be hereditary if every subcontinuum of X$ has the property. In particular, a continuum is said to be hereditarily unicoherent if the intersection of any two of its subcontinua is connected.
next up previous contents index
Next: hereditarily Up: Definitions Previous: half-ray curve
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30