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- W2164424120 abstract "Adhesive categories are categories which have pushouts with one leg a monomorphism, all pullbacks, and certain exactness conditions relating these pushouts and pullbacks. We give a new proof of the fact that every topos is adhesive. We also prove a converse: every small adhesive category has a fully faithful functor in a topos, with the functor preserving the all the structure. Combining these two results, we see that the exactness conditions in the definition of adhesive category are exactly the relationship between pushouts along monomorphisms and pullbacks which hold in any topos." @default.
- W2164424120 created "2016-06-24" @default.
- W2164424120 creator A5073756839 @default.
- W2164424120 date "2011-03-03" @default.
- W2164424120 modified "2023-09-27" @default.
- W2164424120 title "An embedding theorem for adhesive categories" @default.
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