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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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Covering axioms, directed GF-spaces and quasi-uniformities
by
M. A. Sanchez-Granero
Universidad Almeria

Characterizations of covering properties (paracompactness, compactness, metacompactness, etc) in terms of directed fractal structures are given. These characterizations suggest the introduction of the concept of co-Lebesgue quasi-uniformity (each open covering has a refinement of the form {U-1(x):x in X } for some entourage U of the quasi-uniformity) and related concepts, which are studied. These properties are also studied for quasi-pseudometric spaces.

Date received: February 8, 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-19.