Every totally disconnected separable metrizable topological group is an autohomeomorphism group
نویسندگان
چکیده
منابع مشابه
Jan van Mill
De Groot proved that every group is the autohomeomorphism group of some metrizable space. A space is totally disconnected if every connected subset of it contains at most one point. We prove that every separable metrizable totally disconnected topological group is topologically isomorphic to the autohomeomorphism group of some separable metrizable space, when given the compact-open topology. It...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1990
ISSN: 0166-8641
DOI: 10.1016/0166-8641(90)90098-m