Atlas home || Conferences | Abstracts | about Atlas

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

View Abstracts
Conference Homepage

A Localic Version of Shirota's Theorem
by
Joanne Walters-Wayland
Southern Illinois Univ and Univ of Cape Town

The different notions of realcompactness for frames and the fact that completions of frames behave differently to their spatial counterparts make the idea of a localic Shirota's Theorem an interesting one. We show that a uniform frame is complete in its separable fine uniformity precisely when it is Lindelöf. Various other results of Shirota's will be explored in this context. Using Shirota's Theorem, we show that the completion of a Lindelöf uniform frame is Lindelöf, and then this result allows for a straightforward description of the completion of a uniform

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 # caaf-91.