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Stably continuous frames

Published online by Cambridge University Press:  24 October 2008

B. Banaschewski  and
G. C. L. Brummer
B. Banaschewski
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada
G. C. L. Brummer
Affiliation:
Department of Mathematics, University of Cape Town, Rondebosch., South Africa
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In the lattice theory that underlies topology, that is, in the study of frames, a class of frames arising naturally is that of the stably continuous frames (see §0 for definitions). On the one hand, they correspond to the most reasonable not necessarily Hausdorff compact spaces, and on the other, they are precisely the retracts of coherent frames. Moreover, an important special case of stably continuous frames are the compact regular frames which correspond to compact Hausdorff spaces.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 1 , July 1988 , pp. 7 - 19
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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