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Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

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Some results on paratopological groups
by
Chuan Liu
Ohio University -Zanesville

Abstract: We discuss topological properties on paratopological groups and give an affimative answer to Arhangel'skii and Burke's question "Is every pseudocompact subset in a first-countable paratopological group a metrizable compactum?" and a partial answer to Nyikos' question: "Is a Fréchet-Urysohn paratopological group an a4-space?".

Date received: February 15, 2006

Copyright © 2006 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 # caqs-42.