Additivity of Euler characteristics in relative algebraic $K$-groups
Additivity of Euler characteristics in relative algebraic $K$-groups
复制标题
相对代数 $K$ 群中欧拉特征的可加性
DOI：
10.4310/hha.2005.v7.n3.a2
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
D. Burns
中科院分区：
文献类型：
--
作者：
M. Breuning;D. Burns
我们描述了自然欧拉特征的标准，该标准将相对代数 K0 群中的值添加到可区分的三角形中。作为初步步骤，我们证明了关于行列式函子的几个结果，特别是关于复形的行列式与其上同调的行列式的比较。谨以此纪念维克多·斯奈思 60 岁生日。
We describe a criterion for a natural Euler characteristic that takes values in a relative algebraic K0-group to be additive in distinguished triangles. As preliminary steps we prove several results about determinant functors, in particular concerning the comparison of the determinant of a complex to the determinant of its cohomology. Dedicated to Victor Snaith on the occasion of his 60-th birthday.