论文标题

稳定的近似HOPF定理的方法

A stable approach to the equivariant Hopf theorem

论文作者

Szymik, Markus

论文摘要

令G为有限的组。对于从衰弱的意义上讲的半无g manifolds,通过其程度描述了G-均衡图的同型类别成G-Sphere的同型类别,并且出现的程度以一致性为特征。首先证明这是一个稳定的问题,然后使用均值稳定同义理论的方法解决了半无效的G-宇宙。

Let G be a finite group. For semi-free G-manifolds which are oriented in the sense of Waner, the homotopy classes of G-equivariant maps into a G-sphere are described in terms of their degrees, and the degrees occurring are characterized in terms of congruences. This is first shown to be a stable problem and then solved using methods of equivariant stable homotopy theory with respect to a semi-free G-universe.

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