A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Annulus conjecture and stability of homeomorphisms in infinite-dimensional normed linear spaces

1970
*
Proceedings of the American Mathematical Society
*

If E is an arbitrary infinite-dimensional normed linear space, it is shown that if all homeomorphisms of E onto itself are stable, then the annulus conjecture is true for E. As a result, this confirms that the annulus conjecture for Hilbert space is true. A partial converse is that for those spaces E which have some hyperplane homeomorphic to E, if the annulus conjecture is true for E and if all homeomorphisms of E onto itself are isotopic to the identity, then all homeomorphisms of E onto itself are stable.

doi:10.1090/s0002-9939-1970-0256419-6
fatcat:e4ha3gmrwjdzhpatqvktzv5m6e