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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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A Theory of Bicompletion for a Frame Quasi-Uniformity
by
W. Hunsaker
Southern Illinois University at Carbondale
Coauthors: J. Frith (Southern Illinois University at Carbondale)

This paper presents the bicompletion of a quasi-uniform frame. The construction is the frame counterpart of the bicompletion of a quasi-uniform space (W.F. Lindgren and P. Fletcher, A construction of the pair completion of a quasi-uniform space, Canad. Math. Bull. 21 53-59, (1978)). When the procedure outlined herein is applied to a uniform frame, our bicompletion yields the (unique) completion of the uniform frame.

Date received: April 12, 1996

Copyright © 1996 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 # caae-41.