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arXiv · 1211.3775

Rigidity theorem for presheaves with Ω-transfers

Alexander Neshitov
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Abstract

In 1983 A. Suslin proved the Quillen-Lichtenbaum conjecture about algebraic K-theory of algebraically closed fields. The proof was based on a theorem called the Suslin rigidity theorem. In the present paper we prove the rigidity theorem for homotopy invariant presheaves with Ω-transfers, introduced by I. Panin. This type of presheaves includes the K-functor and algebraic cobordism of M. Levine and F. Morel. Keywords: rigidity theorem, presheaves with transfers, cohomology theories. MSC2000: 14F43

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Alexander Neshitov. 2012-11-16. Rigidity theorem for presheaves with Ω-transfers. https://arxiv.org/abs/1211.3775

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