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arXiv math/0511603math.DG
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关于等变同胚的分解子

On commutators of equivariant homeomorphisms

Tomasz Rybicki

摘要:

解决了$G$ -流形(具有一个轨道型)上的紧支撑等变同胚群的完备性问题。证明是基于一个论点不同的情况下的同胚。该定理是计算更复杂的$G$ -流形的$H_1(\mathcal{H}_G(M))$的起点。

英文摘要:

The long-standing problem of the perfectness of the compactly supported equivariant homeomorphism group on a $G$-manifold (with one orbit type) is solved in the affirmative. The proof is based on an argument different than that for the case of diffeomorphisms. The theorem is a starting point for computing $H_1(\mathcal{H}_G(M))$ for more complicated $G$-manifolds.

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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