On non-Archimedean Polish groups with two-sided invariant metrics
نویسندگان
چکیده
منابع مشابه
Dynamics of non-archimedean Polish groups
A topological group G is Polish if its topology admits a compatible separable complete metric. Such a group is non-archimedean if it has a basis at the identity that consists of open subgroups. This class of Polish groups includes the profinite groups and (Qp, +) but our main interest here will be on non-locally compact groups. In recent years there has been considerable activity in the study o...
متن کاملGraev ultrametrics and surjectively universal non-Archimedean Polish groups
Article history: Received 9 November 2012 Received in revised form 13 February 2013 Accepted 17 February 2013 MSC: primary 03E15, 46B10 secondary 54H05, 46B99
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We shall find the following necessary and sufficient conditions: I. the space is metrizable (cf. Nagata [l], Smirnof [2]), II. the space is strongly O-dimensional. Property II means that any two closed disjoint sets in the space can be separated (by the empty set). We shall prove furthermore that the conditions I and II are equivalent to the following topological properties: the space is a Haus...
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Quasi-invariant measures with values in non-Archimedean fields on a group of diffeomorphisms were constructed for non-Archimedean manifolds M in [Lud96, Lud99t]. On non-Archimedean loop groups and semigroups they were provided in [Lud98s, Lud00a, Lud02b]. A Banach space over a local field also serves as the additive group and quasi-invariant measures on it were studied in [Lud03s2, Lud96c]. Thi...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2014
ISSN: 0166-8641
DOI: 10.1016/j.topol.2013.10.034