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Sheaf of spectra : ウィキペディア英語版
Sheaf of spectra

In algebraic topology, a presheaf of spectra on a topological space ''X'' is a contravariant functor from the category of open subsets of ''X'', where morphisms are inclusions, to the good category of commutative ring spectra. A theorem of Jardine says that such presheaves form a simplicial model category, where ''F'' →''G'' is a weak equivalence if the induced map of homotopy sheaves \pi_
* F \to \pi_
* G is an isomorphism. A sheaf of spectra is then a fibrant/cofibrant object in that category.
The notion is used to define, for example, a derived scheme in algebraic geometry.
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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