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The First Turkish International Conference on Topology and its Applications
August 2-5, 2000
Istanbul University
Istanbul, Turkey

Organizers
Nurettin Ergun, Mahir Hasanov, Turgut Önder, Cem Tezer, Murat Tuncali, Stephen Watson

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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 Lindelöf) 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: July 9, 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 # caeh-63.