Equivariant Multiplicative Closure
Equivariant Multiplicative Closure
复制标题
等变乘法闭包
DOI：
10.1090/conm/620/12372
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
M. Hill
中科院分区：
文献类型：
--
作者：
M. Hopkins;M. Hill
本文讨论了等变交换环的同伦群元素求逆的问题。等变交换环拥有一个增强的乘法结构，这是由“索引积”（由具有群的非平凡作用的集合索引的积）的存在引起的。集合的“乘法闭包”的形成必须改变以适应这种结构，并且局部化等变交换环的结果可能具有意想不到的同伦类型。
This paper describes an issue that arises when inverting elements of the homotopy groups of an equivariant commutative ring. Equivariant commutative rings possess an enhanced multiplicative structure arising from the presence of "indexed products" (products indexed by a set with a non-trivial action of the group). The formation of the "multiplicative closure" of a set must be altered in order to accomodate this structure, and the result of localizing an equivariant commutative ring can have an unexpected homotopy type.