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- W2988747298 abstract "We introduce a functor $mathfrak{M}:mathbf{Alg}timesmathbf{Alg}^mathrm{op}rightarrowmathrm{pro}text{-}mathbf{Alg}$ constructed from representations of $mathrm{Hom}_mathbf{Alg}(A,Botimes ?)$. As applications, the following items are introduced and studied: (i) Analogue of the functor $pi_0$ for algebras and affine schemes. (ii) Cotype of Weibel's concept of strict homotopization. (iii) A homotopy invariant intrinsic singular cohomology theory for affine schemes with cup product. (iv) Some extensions of $mathbf{Alg}$ that are enriched over idempotent semigroups. (v) Classifying homotopy pro-algebras for Corti~{n}as-Thom's KK-groups and Weibel's homotopy K-groups." @default.
- W2988747298 created "2019-11-22" @default.
- W2988747298 creator A5043781888 @default.
- W2988747298 date "2019-11-11" @default.
- W2988747298 modified "2023-09-27" @default.
- W2988747298 title "Path-Connected Components of Affine Schemes and Algebraic K-Theory" @default.
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