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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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Generalised reflection
by
Sina Greenwood
University of Auckland
Coauthors: Paul Gartside, David McIntyre

A reflection theorem is a result of the form 'if all small subsets of a space have property P then the space itself has P'. Typical small subsets would be those of cardinality <= \aleph1, the meagre sets, or closed nowhere dense sets. We abstract the properties of 'small' necessary to ensure reflection of the countable chain condition, separability and the Lindelöf property.

Date received: June 26, 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-64.