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IV Iberoamerican Conference on Topology and its Applications (IV CITA)
April 18-21, 2001
University of Coimbra
Coimbra, Portugal

Organizers
Maria Manuel Clementino, Jorge Picado, Lurdes Sousa, Maria João Ferreira, Gonçalo Gutierres, Dirk Hofmann

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Weak completeness of the quasi-uniformity of uniform convergence
by
María José Pérez-Peñalver
Departamento de Matemática Aplicada, Universidad Politécnica de Valencia
Coauthors: Salvador Romaguera (Departamento de Matemática Aplicada, Universidad Politécnica de Valencia)

Motivated by the well-know notions of almost complete quasi-uniform space and of \theta-closure point of a set, we introduce and study the concepts of quasi left(right) K-complete, almost half complete, \theta-complete, \theta-left(right) K-complete and \theta-half complete quasi-uniform space. We are interested in finding the relationship of this types of completeness for the quasi-uniformity of uniform convergence on function spaces.

Date received: March 2, 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 # cafw-52.