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A Godement theorem for locales

Published online by Cambridge University Press:  04 October 2011

Anders Kock
Anders Kock
Affiliation:
Aarhus Universitet, Aarhus, Denmark
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Extract

The classical Godement Theorem for manifolds, characterizing kernel pairs for submersions (cf. e.g. [15], LG IV §5), has been used by Pradines[12] as a crucial property for having a good theory of differentiable groupoids; in fact, he developed an axiomatic theory of categories in which Godement's and some other exactness properties hold, under the name of ‘Godement diptych’.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 3 , May 1989 , pp. 463 - 471
Copyright
Copyright © Cambridge Philosophical Society 1989

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