Definition of Presheaves. Meaning of Presheaves. Synonyms of Presheaves

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Definition of Presheaves

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Meaning of Presheaves from wikipedia

- open subsets gives rise to the concept of presheaves. Roughly speaking, sheaves are then those presheaves, where local data can be glued to global data...
- space. A morphism of presheaves is defined to be a natural transformation of functors. This makes the collection of all presheaves on C {\displaystyle...
- In category theory, a branch of mathematics, a limit or a colimit of presheaves on a category C is a limit or colimit in the functor category C ^ = F c...
- simplicial presheaves on any small Grothendieck site, the category of topological spectra, and the categories of simplicial spectra or presheaves of simplicial...
- "category of right modules over C {\displaystyle C} ". The category of presheaves on a topological space X {\displaystyle X} is a functor category: we turn...
- is true. Given a small category C {\displaystyle C} , the category of presheaves S e t C o p {\displaystyle \mathrm {Set} ^{C^{op}}} (i.e. the functor...
- }}} (the presheaves over C) of retracts of representable functors. The category of presheaves on C is equivalent to the category of presheaves on Split(C)...
- X. If X is locally connected, the adjunction between the category of presheaves and bundles restricts to an equivalence between the category of locally...
- category of G {\displaystyle G} -sets. We construct this as the category of presheaves on the category with one object, but now the set of morphisms is given...
- Set, the category of sets and functions, D is called a presheaf on C. Presheaves (over a topological space) If X is a topological space, then the open...