A reduction of the fundamental conjecture about locally compact 𝐴𝑁𝑅’s-Reference-Cited by-同舟云学术

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A reduction of the fundamental conjecture about locally compact 𝐴𝑁𝑅’s

Published:1975 Issue:2 Volume:49 Page:446-448
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fathi A.,Visetti Y. M.

Abstract

In this note, we show that the conjecture: the product of a locally compact ANR by the Hilbert cube is a Hilbert cube manifold, can be reduced to its compact AR case, i.e.: the product of a compact AR by the Hilbert cube is a Hilbert cube manifold.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-049-02/S0002-9939-1975-0372866-0/S0002-9939-1975-0372866-0.pdf

Reference8 articles.

1. R. D. Anderson, T. A. Chapman and R. M. Schori, Problems in the topology of infinite dimensional spaces and manifolds, Mathematische Centrum, Amsterdam, 1971.

2. Monografie Matematyczne, Tom 44;Borsuk, Karol,1967

3. T. A. Chapman, Notes on Hilbert cube manifolds, University of Kentucky, 1973 (preprint).

4. A simplicial complex whose product with any ANR is a simplicial complex;Henderson, David W.;General Topology and Appl.,1973

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