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Proceedings of the American Mathematical Society
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0695271-0
PII: S 0002-9939(1983)0695271-0
Article copyright: © Copyright 1983 American Mathematical Society