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2003 Summer Conference on Topology and its Applications
July 9-12, 2003
Howard University
Washington, DC, USA

Organizers
Neil Hindman, Joshua Leslie, Amir Maleki, Thierry Robart, Sherif El-Helaly, John Kulesza, Salvador Garcia-Ferreira, Javier Trigos-Arrietta, Grant Woods, Alan Dow, Judy Kennedy, Randall McCutcheon Karl Hofmann, Dona Strauss, Jimmie Lawson, Michael Mislove

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Quasi-metrics and point-free geometry
by
Anna Di Concilio
University of Salerno Italy
Coauthors: G.G. Gerla

Quasi-metrics reveal useful in constructing point-free geometries. Let (M,d) a metric space. A "quasi-metric space of regions in M" is a pair (C, e), where C is a collection of bounded regularly closed subsets of M and e is the Hausdorff excess defined as usual by the formula e(A,B) = sup d(x,B) : x in A . We introduce abstract quasi-metric spaces of regions and give conditions for an abstract space of regions to be a space of regions in a metric space.

Date received: June 18, 2003

Copyright © 2003 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 # calv-05.