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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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Lattices of Proximities
by
Marlon Rayburn
University of Manitoba

Lubbin's Problem, when do the Hausdorff compactifications form a lattice, has another form, when do the Efremovic proximities form a lattice. We observe the Lodato proximities always form a complete lattice, and the Lodato regular proximities form a lattice. Not much is currently known about Harris proximities (whose completions are the regular closed extensions) which sit between the Lodato regular and the Efremovic proximities.

Date received: May 31, 2002

Copyright © 2002 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 # cait-28.