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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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Topological features of lax algebras
by
Dirk Hofmann
University of Coimbra, Portugal
Coauthors: Maria Manuel Clementino (University of Coimbra, Portugal)

Having as starting point Barr's description of topological spaces as lax algebras for the ultrafilter monad [1], in this talk we present further topological examples of lax algebras - such as quasi-metric spaces, approach spaces and quasi-uniform spaces - and show that, in a suitable setting, the categories of lax algebras have indeed a topological nature.

[1] M. Barr, Relational algebras, in: SLNM 137 (1970), 39-55.

Date received: March 15, 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-65.