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2000 Summer Conference on Topology and its Applications (Topo2000)
July 26-29, 2000
Miami University
Oxford, OH, USA

Organizers
Dennis Burke, Zoltan Balogh, Sheldon Davis

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Subsequentiality and Sequential Order
by
Stephen Watson
York University
Coauthors: Szymon Dolecki (Universite de Bourgogne)

We show that there is a subsequential (regular Lindelof) space which cannot be embedded in a Hausdorff sequential space. We show that there is, under MA, a sequential space of order 3 which can be embedded in a (compact Hausdorff) space of order 2. These answer questions of Arhangel'skii.

Date received: June 20, 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 # caeu-34.