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- W2953204177 abstract "We prove that arbitrary homomorphisms from one of the groups ${rm Homeo}(ca)$, ${rm Homeo}(ca)^N$, ${rm Aut}(Q,<)$, ${rm Homeo}(R)$, or ${rm Homeo}(S^1)$ into a separable group are automatically continuous. This has consequences for the representations of these groups as discrete groups. For example, it follows, in combination with a result on V.G. Pestov, that any action of the discrete group ${rm Homeo}_+(R)$ by homeomorphisms on a compact metric space has a fixed point." @default.
- W2953204177 created "2019-06-27" @default.
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- W2953204177 date "2006-04-26" @default.
- W2953204177 modified "2023-09-27" @default.
- W2953204177 title "Automatic continuity of homomorphisms and fixed points on metric compacta" @default.
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