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A subcontinuum of a hereditarily unicoherent
continuum is said to be a *HU-terminal continuum* of
provided that is contained in an irreducible
subcontinuum of and for every irreducible subcontinuum
of containing there is a point such
that is irreducible about the union
.

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*Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih*

*2001-11-30*