Terminal subcontinua of hereditarily unicoherent continua

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Kernels of Hereditarily Unicoherent Continua and Absolute Retracts

For a hereditarily unicoherent continuum X, its kernel means the common part of all subcontinua of X that intersect all arc components of X. This concept naturally appears when absolute retracts for the class of hereditarily unicoherent continua are studied. Let Y be such an absolute retract. Among other results, we prove that (a) Y is indecomposable if and only if it is identical with its kern...

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 1973

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.1973.47.457