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Upper Semicontinuous Decompositions of E 3

Name: Upper Semicontinuous Decompositions of E 3
Creator: R. H. Bing
Keywords: Topology

Upper semicontinuous decompositions of \(E^ 3\)

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1957Publisher:JSTORJournal:The Annals of Mathematics, volume 65, page 363 (issn: 0003-486X,

Authors: R. H. Bing;

doi: 10.2307/1969968

Upper Semicontinuous Decompositions of E 3

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Abstract

In this paper it is shown that monotone upper semicontinuous decompositions of E3 satisfying certain additional conditions have decomposition spaces which are topologically equivalent to E3. When these results were first obtained several years ago, we had some misgivings about imposing certain of these conditions since it was not known at that time that they were necessary. There was some suspicion that all of those upper semicontinuous decompositions of E3 whose elements were compact continua with complements topologically equivalent to

Keywords

Topology

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