NDLI: Annulus Conjecture and Stability of Homeomorphisms in Infinite-Dimensional Normed Linear Spaces

Content Provider	Scilit
Author	McCoy, R. A.
Copyright Year	1970
Description	If is an arbitrary infinite-dimensional normed linear space, it is shown that if all homeomorphisms of onto itself are stable, then the annulus conjecture is true for . As a result, this confirms that the annulus conjecture for Hilbert space is true. A partial converse is that for those spaces which have some hyperplane homeomorphic to , if the annulus conjecture is true for and if all homeomorphisms of onto itself are isotopic to the identity, then all homeomorphisms of onto itself are stable.
Related Links	http://www.ams.org/journals/proc/1970-024-02/S0002-9939-1970-0256419-6/S0002-9939-1970-0256419-6.pdf
Ending Page	277
Page Count	6
Starting Page	272
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2036346
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	24
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Mathematical Physics Annulus Conjecture Normed Linear Infinite Dimensional Dimensional Normed Linear Spaces Homeomorphisms Stability
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Annulus Conjecture and Stability of Homeomorphisms in Infinite-Dimensional Normed Linear Spaces