Rigidity theorem for presheaves with \Omega-transfers
Rigidity theorem for presheaves with \Omega-transfers
复制标题
具有 Omega 传递的预滑轮刚性定理
DOI：
10.1090/spmj/1367
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Alexander Neshitov
中科院分区：
文献类型：
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作者：
Alexander Neshitov
1983年A. Suslin证明了关于代数闭域的代数K-理论的Quillen-Lichtenbaum猜想。这个证明是基于一个叫做Suslin刚性定理的定理。本文证明了I.帕宁这类预层包括M的K函子和代数配边。Levine和F.莫瑞尔关键词：刚性定理，转移预层，上同调理论。MSC2000：14F43
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 \Omega-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