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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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On the Space of Homeomorphisms of a Compact n-Manifold
by
Raymond Y. Wong
Univ. of Cal. Santa Barbara

In the study of the space of homeomorphisms H\partial(M) of a compact n-manifold M (modulo its boundary), the major unsolved problem is whether H\partial(M) is an absolute neighborhood retract. If the answer is affirmative, then it must be homeomorphic to a Hilbert manifold when combining several known results in infinite-dimensional topology. It turns out that there is a simple reduction of the problem to the case M being an n-ball B. That is, if H\partial(B) is an absolute retract, then H\partial(M) is an absolute neighborhood retract. We intend to concentrate on the study of H\partial(B) and prove several theorems that may help to answer the question partially.

Date received: April 12, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaf-95.