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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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On Nagata spaces
by
Heikki Junnila
University of Helsinki
Coauthors: Ziqiu Yun (Suzhou)

We give a characterization of Nagata spaces in terms of certain networks. The proof depends on a lemma according to which a metacompact semimetrizable space has a point-finite \pi-base if, and only if, the space has a \sigma-discrete dense G\delta-subset.

Date received: June 30, 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-52.