Contractible Hilbert Cube Manifolds

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1972Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 35, page 254 (issn: 0002-9939,

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Authors: Chapman, T. A.;

doi: 10.2307/2038481 , 10.1090/s0002-9939-1972-0300313-0

Contractible Hilbert Cube Manifolds

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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.

Keywords

Topology of infinite-dimensional manifolds, Homotopy and topological questions for infinite-dimensional manifolds

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