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arXiv 0710.2612math.GT
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环面上余维为一个不动点集的对合

Involutions on tori with codimension one fixed point set

Allan L. Edmonds

摘要:

标准的私人助理。将球面、圆盘和欧几里得空间上p-群作用的Smith理论推广到环面上p-群作用的情况(即,圆的积),并结合拓扑外科理论,给出了余维为1的环面上具有不动点集的局部线性、方向反转对合的全维拓扑分类.

英文摘要:

The standard P. A. Smith theory of p-group actions on spheres, disks, and euclidean spaces is extended to the case of p-group actions on tori (i.e., products of circles) and coupled with topological surgery theory to give a complete topological classification, valid in all dimensions, of the locally linear, orientation reversing, involutions on tori with fixed point set of codimension one.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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