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 π ∗ F → π ∗ G {\displaystyle \pi _{*}F\to \pi _{*}G} is an isomorphism.
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 π ∗ F → π ∗ G {\displaystyle \pi _{*}F\to \pi _{*}G} is an isomorphism.
Source: Wikipedia "Sheaf of spectra" · CC BY-SA 4.0
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