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Galway 4: The Fourth Galway Topology Colloquium at Birmingham
September 11-13, 2000
The University of Birmingham
Birmingham, UK

Organizers
Chris Good (University of Birmingham)

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Compactifications and Lattices
by
Joseph T H Lo
St Edmund Hall, Oxford, U.K.

Let X be a Tychonoff space, and K(X) be the set of all Hausdorff compactifications of X. We define an order <= on K(X) via: for all a1X, a2X in K(X), a1X <= a2X if and only if there is a continuous map f from a2X onto a1X such that f restricted to X is the identity. In the talk, we shall consider (1) Lubben's problem (the problem of determining when the poset < K(X), <= > is a lattice) and (2) the properties of < K(X), <= > when it is a lattice.

Date received: August 12, 2000

Copyright © 2000 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 Mathematical Conference Abstracts. Document # cafq-02. cts. Document # cafq-02.