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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Contractible Hilbert cube manifolds


Author: T. A. Chapman
Journal: Proc. Amer. Math. Soc. 35 (1972), 254-258
MSC: Primary 58B05; Secondary 57A20
DOI: https://doi.org/10.1090/S0002-9939-1972-0300313-0
MathSciNet review: 0300313
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Abstract: In this note we give an example of a contractible Hilbert cube manifold which cannot be embedded as an open subset of the Hilbert cube Q so that its complement (in Q) lies in a face of the boundary of Q. This example provides a negative answer to a question raised by the author.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0300313-0
Keywords: Hilbert cube, Hilbert cube manifold, Whitehead's example
Article copyright: © Copyright 1972 American Mathematical Society

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