Union of Convex Hilbert Cubes

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 1977Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 65, page 171 (issn: 0002-9939,

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Authors: Quinn, J.; Wong, Raymond Y. T.;

doi: 10.2307/2042016 , 10.1090/s0002-9939-1977-0500981-9

Union of Convex Hilbert Cubes

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Abstract

We show that the finite union of Keller cubes in a Hilbert space is homeomorphic to the Hilbert cube provided every subcollection intersects in a Hilbert cube.

Related Organizations

University of Georgia Press
United States
University of North Carolina System
United States

Keywords

Topology of infinite-dimensional manifolds, Hyperspaces in general topology, Convex sets without dimension restrictions (aspects of convex geometry)

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