Euler measure as generalized cardinality
Euler measure as generalized cardinality
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作为广义基数的欧拉测度
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
J. Propp
中科院分区：
文献类型：
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作者：
J. Propp
Schanuel指出，有数学上有趣的类别，其关系的环的整数是类似的关系之间的类别有限集和半环的非负整数。这样的范畴本质上是几何的或拓扑的，因为到整数环的映射是欧拉特征的一个变体。在这些笔记中，我勾画了一些想法，这些想法可能会被用于进一步发展沙奈尔提出的沿着路线的理论。
Schanuel has pointed out that there are mathematically interesting categories whose relationship to the ring of integers is analogous to the relationship between the category of finite sets and the semi-ring of non-negative integers. Such categories are inherently geometrical or topological, in that the mapping to the ring of integers is a variant of Euler characteristic. In these notes, I sketch some ideas that might be used in further development of a theory along lines suggested by Schanuel.