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Spring Topology and Dynamical Systems Conference
March 15-17, 2001
Centro de Convenciones
Morelia City, Michoacán, Mexico

Organizers
Alejandro Illanes, Sergio Macías, Jesus Muciño, María Luisa Pérez

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Strongly Baire spaces and joint continuity of separately continuous mappings
by
Jiling Cao
Ehime University, Japan
Coauthors: Warren Moors (Waikato University, New Zealand)

Recently, Kenderov, Kortezov and Moors introduced the notion of strongly Baire spaces to study when a semi-topological group is in fact a topological group. In this paper, we shall explore more applications of this class of spaces. In particular, we show that a separately continuous bi-homomorphism from a product of two strongly Baire groups to another group is (jointly) continuous. This improves a result of Christensen and Fischer in 1988. Joint continuity of mappings defined on finite products will also be discussed.

Date received: January 14, 2001

Copyright © 2001 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 # cagh-04.