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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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The Menger space as a majorant
by
Rolando Jiménez
Unidad Morelia

In 1972 R. Bennett proved that the Cantor set is a majorant for the class of all compacta of fundamental dimension equal to zero. By a result of S. Mardesi\'c an J. Segal, this is a subclass of movable spaces. Later S. Spiez showed that the class of all movable spaces admits a majorant. Moreover, the class of all movable spaces with fundamental dimension equal to k has a k-dimensional majorant.

In this talk we show that the k-dimensional Menger space Mk is a majorant for all SLCk-1 \cap UVk-1-compacta with fundamental dimension equal to k. This class is a subclass of all movable spaces. For k=0 we recover R. Bennet's result.

Date received: March 17, 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-13.