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hereditarily indecomposable

a continuum X$ is said to be hereditarily indecomposable provided that each of its subcontinua is indecomposable, that is, for each subcontinuum C \subset X$ and for every continua A$ and B$ such that A \cup B = C$ we have either A = C$ or B = C$.
next up previous contents index
Next: hereditarily locally connected Up: Definitions Previous: hereditarily equivalent
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30