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• W2896960251 abstract "The aim of this work is to construct certain homotopy t-structures on various categories of motivic homotopy theory, extending works of Voevodsky, Morel, Déglise and Ayoub. We prove these t-structures possess many good properties, some analogous to those of the perverse t-structure of Beilinson, Bernstein and Deligne. We compute the homology of certain motives, notably in the case of relative curves. We also show that the hearts of these t-structures provide convenient extensions of the theory of homotopy invariant sheaves with transfers, extending some of the main results of Voevodsky. These t-structures are closely related to Gersten weight structures as defined by Bondarko." @default.
• W2896960251 created "2018-10-26" @default.
• W2896960251 creator A5052599664 @default.
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• W2896960251 date "2017-04-01" @default.
• W2896960251 modified "2023-09-26" @default.
• W2896960251 title "Dimensional homotopy t-structures in motivic homotopy theory" @default.
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• W2896960251 doi "https://doi.org/10.1016/j.aim.2017.02.003" @default.
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