Monotone upper semi-continuous decompositions of IUC continua

Date

1981

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Abstract

It is proved that atriodic continua have the property that each proper subcontinuum with interior is unicoherent. Continua with this property are said to have property IUC. Monotone upper semi-continuous decompositions of continua with property IUC are investigated, and a spectrum of decompositions is developed, paralleling the work done for hereditarily unicoherent continua.

Description

Keywords

Metric spaces, Continuity

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