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Upper Semicontinuous Collections of Continua in Class W

Name: Upper Semicontinuous Collections of Continua in Class W
Creator: C. Wayne Proctor
Keywords: Continua and generalizations, construction of continua in class W, 4. Education, upper semi-continuous decomposition of C-sets, 0101 mathematics, Quotient spaces, decompositions in general topology, class W continuum which is neither tree-like, circle-like, nor hereditarily indecomposable, 16. Peace & justice, 01 natural sciences

Upper semicontinuous collections of continua in class W

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1983Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 88, page 338 (issn: 0002-9939,

Authors: C. Wayne Proctor;

doi: 10.2307/2044729 , 10.1090/s0002-9939-1983-0695271-0

Upper Semicontinuous Collections of Continua in Class W

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Abstract

A continuum is proven to be in Class W W if it can be decomposed into an upper semicontinuous collection of C C -sets, each of which is contained in Class W W , and if the upper semicontinuous decomposition space thus formed is in Class W W .

Keywords

Continua and generalizations, construction of continua in class W, upper semi-continuous decomposition of C-sets, Quotient spaces, decompositions in general topology, class W continuum which is neither tree-like, circle-like, nor hereditarily indecomposable

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