Definition of Presheaves. Meaning of Presheaves. Synonyms of Presheaves

Here you will find one or more explanations in English for the word Presheaves. Also in the bottom left of the page several parts of wikipedia pages related to the word Presheaves and, of course, Presheaves synonyms and on the right images related to the word Presheaves.

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...
- "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...
- simplicial presheaves on any small Grothendieck site, the category of topological spectra, and the categories of simplicial spectra or presheaves of simplicial...
- X. If X is locally connected, the adjunction between the category of presheaves and bundles restricts to an equivalence between the category of locally...
- org "copresheaf", ncatlab.org "Natural transformations and presheaves: Remark 1.28. (presheaves as generalized spaces)", ncatlab.org "Opposite functors"...
- 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...
- 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...
- }}} (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)...