Atlas home || Conferences | Abstracts | about Atlas

The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

View Abstracts
Conference Homepage

A categorical characterization of the Vietoris topology
by
Walter Tholen
York University, Toronto, Canada

With VX denoting the hyperspace of closed subsets of a topological space X, we show that the element relation on VX ×X is universal among certain relations on Y ×X (Y any space), yielding a purely categorical characterization of VX. This then provides the possibility of expressing higher separation axoims for X categorically, by imposing the categorical Hausdorff axiom on VX and VVX.

(Joint work with M. H. Clementino)

Date received: July 7, 1997

Copyright © 1997 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 # caao-93.