Automatic continuity of homomorphisms and fixed points on metric compacta
نویسندگان
چکیده
منابع مشابه
Automatic Continuity of Homomorphisms and Fixed Points on Metric Compacta
We prove that arbitrary homomorphisms from one of the groups Homeo(2), Homeo(2), Aut(Q, <), Homeo(R) or Homeo(S) 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 of V. G. Pestov, that any action of the discrete group Homeo+(R) by homeomorphisms on a compact...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2007
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-007-0102-y