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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Union of convex Hilbert cubes


Authors: J. Quinn and Raymond Y. T. Wong
Journal: Proc. Amer. Math. Soc. 65 (1977), 171-176
MSC: Primary 57A20
MathSciNet review: 0500981
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0500981-9
PII: S 0002-9939(1977)0500981-9
Keywords: Keller cubes, Hilbert cubes, Z-sets, f.d. CAP sets, Q-manifolds
Article copyright: © Copyright 1977 American Mathematical Society