Geodesic
Glueing Analysis for Complemented Subtoposes
Theory and applications of categories, Tome 2 (1996), pp. 100-112 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We prove how any (elementary) topos may be reconstructed from the data of two complemented subtoposes together with a pair of left exact ``glueing functors''. This generalizes the classical glueing theorem for toposes, which deals with the special case of an open subtopos and its closed complement.

Our glueing analysis applies in a particularly simple form to a locally closed subtopos and its complement, and one of the important properties (prolongation by zero for abelian groups) can be succinctly described in terms of it.

Classification : 18B25.
Keywords: Artin glueing, complemented subtoposes, complemented sublocale, locally closed subtoposes, locally closed sublocale, prolongation by 0, extension by 0. 
@article{TAC_1996_2_a8,
     author = {Anders Kock and Till Plewe},
     title = {Glueing {Analysis} for {Complemented} {Subtoposes}},
     journal = {Theory and applications of categories},
     pages = {100--112},
     year = {1996},
     volume = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1996_2_a8/}
}
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Anders Kock; Till Plewe. Glueing Analysis for Complemented Subtoposes. Theory and applications of categories, Tome 2 (1996), pp. 100-112. http://geodesic.mathdoc.fr/item/TAC_1996_2_a8/