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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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Pytkeev spaces and sequential extensions
by
Alessandro Fedeli
Dipartimento di Matematica, Università dell'Aquila, Italy
Coauthors: Attilio Le Donne (Dipartimento di Matematica, Università di Roma "La Sapienza", Italy)

A T_1-space X is called Pytkeev if for every subset A of X and every accumulation point x of A there exists a countable family of infinite subsets of A such that every neighbourhood of x contains an element of this family. We show that there is a perfectly normal Pytkeev space which is not subsequential. This answers a question of Malykhin and Tironi.

Date received: July 23, 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-66.