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II Congreso Iberoamericano de Topología y sus Aplicaciones
March 20-22, 1997

Morelía, Mexico

Organizers
Salvador García-Ferreira, Daniel Juan Pineda, Sergio Macías Alvarez, Max Neumann Coto, María L. Pérez Seguí, Salvador Romaguera Bonilla, Manuel Sanchis López, Angel Tamariz Mascarúa, M. G. Tkachenko, Javier F. Trigos Arrieta

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Theory of extensors for non-compact Lie groups
by
Sergei M. Ageev
Brest State University
Coauthors: S. A. Bogatyi, D. Repovs, P. Fabel

We report on the development of extensor theory for spaces with the action of non-compact Lie groups.

In particular, we shall present a theorem on equivariant extensorability of convex spaces. We shall also show that the orbit space of the equivariant extensor is again an extensor.

As a consequence, we solve a problem due to J. E. West, by proving that the Banach-Mazur compactum Q(n) (of classes of isometric n-dimensional Banach spaces with the Banach-Mazur metric) is an absolute retract.

We also give another solution to West's problem by reducing (invoking the Lövner ellipsoid) the GL(n)-space to the space with a compact group transformations O(n).

Date received: March 7, 1997

Copyright © 1997 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 # caal-01.