论文标题

表面同态群体组的非rolcke预发

Non-Roelcke precompactness of groups of surface homeomorphisms

论文作者

Gonzalez, Javier de la Nuez

论文摘要

我们证明,紧凑型表面的一组固定边界固定同态的亚组没有其对表面内部的作用足够传递,可以是roelcke to roelcke precompact,并从紧凑型拓扑拓扑中遗传而来。

We prove that no subgroup of the group of boundary-fixing homeomorphisms of a compact surface whose action on the interior of the surface is sufficiently transitive can be Roelcke precompact with the topology inherited from the compact-open topology.

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