Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Upper semicontinuous collections of continua in class $ W$

Author: C. Wayne Proctor
Journal: Proc. Amer. Math. Soc. 88 (1983), 338-340
MSC: Primary 54F20; Secondary 54C10
MathSciNet review: 695271
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Abstract: A continuum is proven to be in Class $ W$ if it can be decomposed into an upper semicontinuous collection of $ C$-sets, each of which is contained in Class $ W$, and if the upper semicontinuous decomposition space thus formed is in Class $ W$.

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Article copyright: © Copyright 1983 American Mathematical Society