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1999 Spring Topology Conference
March 18-20, 1999
University of Utah
Salt Lake City, UT, USA

Organizers
Mladen Bestvina, Greg Conner, Misha Kapovich, Bruce Kleiner

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Cardinal sequences of locally compact scattered spaces
by
Istvan Juhasz
Renyi Inst. of Math. and Univ. of Toronto

The cardinal sequence of a scattered space is the sequence of sizes of its Cantor-Bendixon levels. Let L denote the class of cardinal sequences of (locally) compact scattered spaces, or equivalently: superatomic boolean algebras.

  1. A ZFC characterization of sequences of length \omega1 in L is given.

  2. For sequences of length between \omega1 and \omega2 this is no longer possible, but almost everything is known.

  3. For sequences of length \omega2 (or greater) very little is known.

Date received: February 25, 1999

Copyright © 1999 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 # caca-52.