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Presheaf of spaces : ウィキペディア英語版 | Presheaf of spaces In mathematics, a presheaf of spaces on an ∞-category ''C'' is a contravariant functor from ''C'' to the ∞-category of spaces (for example, the nerve of the category of CW-complexes.) It is an ∞-category version of a sheaf of sets, as a "set" is replaced by a "space". The notion is used, among other things, in the ∞-category formulation of Yoneda's lemma that says: is fully faithful (here ''C'' can be just a simplicial set.) == References ==
*Lurie, J. ''Higher Topos Theory''
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