Atlas home || Conferences | Abstracts | about Atlas

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

View Abstracts
Conference Homepage

Continuous functions on locally pseudocompact groups
by
Manuel Sanchis
Universidad Jaume I

We explore the relation between locally pseudocompact groups and bf-spaces. Namely, we point out that bf-continuous functions appear in a natural way when studying the exponential map and products of locally pseudocompact groups. We introduce the concept of bf-group and we prove that \Sigma-spaces of an arbitrary product of locally pseudocompact groups are bf-groups. We show that the Dieudonné topological completion of an arbitrary product of locally pseudocompact groups agrees with its bilateral completion and then it is a topological group. We also study the distribution of the functor of the Dieudonné topological completion for coset spaces and characterize when the product of two bf-groups is a bf-group.

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-10.