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Which ordinal spaces have connected Hausdorff subtopologies?
by
William G. Fleissner
Department of Mathematics, University of Kansas
A limit ordinal \alpha has no Hausdorff subtopology (i.e. a topology coarser than the usual, order topology) iff \alpha can be expressed as an ordinal sum \alpha = \beta+ \gamma such that 2|\gamma| < |\beta|.
Date received: February 2, 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 Conferences Inc. Document # cady-28.