同伦不变量框架预层的余切映射的满射性
Surjectivity of the etale excision map for homotopy invariant framed presheaves
摘要：
框架对应范畴Fr_*（k）、框架预层和框架层是Voevodsky在他未发表的笔记中发明的。G.Garkusha和I.Panin在[8]中，在注[17]的基础上，对经典Morel-Voevodsky运动稳定同伦理论提出了一种新的方法。本文证明了定理1.1：如果基域k是无限的，则对于阿贝尔群F的任意A1-不变稳定加性框架预层，E_（1 - 1）切除性质的满射性成立。在[9]中证明了切迹的内射性。在[9]中证明了当基域是特征不为2的无穷大时，切迹的满射性。本文证明了在任意无限基域的情况下，切迹的满射性。如在[8]的介绍中所解释的，[9]、[1]、[10]和[8]的所有结果现在自动为真，而对基域的特性没有任何限制。
英文摘要：
The category of framed correspondences Fr_*(k), framed presheaves and framed sheaves were invented by Voevodsky in his unpublished notes [17]. Based on the notes [17] a new approach to the classical Morel--Voevodsky motivic stable homotopy theory was developed by G.Garkusha and I.Panin in [8]. The purpose of this paper is to prove Theorem 1.1 stating that if the ground field k is infinite, then the surjectivity of the etale excision property is true for any A1-invariant stable radditive framed presheaf of Abelian groups F. The injectivity of the etale excision was proved in [9]. The surjectivity of the etale excision was proved in [9] if the ground field is infinite of characteristic not 2. In this preprint the surjectivity of the etale excision is proved in the case of any infinite ground field. As explained in the introduction to [8] all the results of [9], [1], [10] and [8] are true now automatically without any restrictions on the characteristic of the ground field.
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