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Nordic Conference on Topology and its Applications (NORDTOP2001)
August 7-9, 2001
Sophus Lie Conference Centre
Nordfjordeid, Norway

Organizers
Peter Collins, Bjoern Jahren, Dusan Repovs, Stephen Watson

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Relative chain conditions
by
David McIntyre
University of Auckland
Coauthors: Paul Gartside (University of Pittsburgh), Aneirin Glyn (Oxford University)

A subspace Y of a topological space X has the countable chain condition in X if every pairwise disjoint collection of open sets in X, each of which meets Y, is countable. Relative versions of other chain conditions and calibres are defined similarly. Relative versions of a number of theorems on chain conditions are considered. In many cases we find that the relative version of the ``absolute'' theorem is not true.

Date received: July 28, 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 # cagf-26.