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- W4249276086 abstract "This chapter concerns cohomology operations. Although motivic cohomology was originally defined for smooth varieties over the perfect field ๐, it is more useful to view it as a functor defined on the pointed ๐ธ<sup>1</sup>-homotopy category <bold>Ho</bold> <sub>ยท</sub>, discussed previously in chapter 12. After defining cohomology operations and giving a few examples, the chapter turns to an axiomatic treatment of the motivic Steenrod operations. The motivic Milnor operations are then presented. Thereafter, this chapter demonstrates that the sequence of Milnor operations ๐<sub>๐</sub> is exact on the reduced cohomology of the suspension ฮฃโ๐ attached to a Rost variety ๐, using the degree map ๐ก<sub>๐ฉ</sub>. It concludes with Voevodsky's motivic degree theorem." @default.
- W4249276086 created "2022-05-12" @default.
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- W4249276086 date "2019-06-11" @default.
- W4249276086 modified "2023-09-25" @default.
- W4249276086 title "Cohomology Operations" @default.
- W4249276086 doi "https://doi.org/10.23943/princeton/9780691191041.003.0013" @default.
- W4249276086 hasPublicationYear "2019" @default.
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