A Godement theorem for locales
- 1 May 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 105 (3) , 463-471
- https://doi.org/10.1017/s0305004100077835
Abstract
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’.Keywords
This publication has 1 reference indexed in Scilit:
- Applications of Sup-Lattice Enriched Category Theory to Sheaf TheoryProceedings of the London Mathematical Society, 1988