نتایج جستجو برای: topological groups
تعداد نتایج: 794192 فیلتر نتایج به سال:
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In this paper we discuss what kind of constrains combinatorial covering properties of Menger, Scheepers, and Hurewicz impose on remainders of topological groups. For instance, we show that such a remainder is Hurewicz if and only it is σ-compact. Also, the existence of a Scheepers non-σ-compact remainder of a topological group follows from CH and yields a P -point, and hence is independent of Z...
We examine the selective screenability property in topological groups. In the metrizable case we also give characterizations of Sc(Onbd,O) and Smirnov-Sc(Onbd,O) in terms of the Haver property and finitary Haver property respectively relative to left-invariant metrics. We prove theorems stating conditions under which Sc(Onbd,O) is preserved by products. Among metrizable groups we characterize t...
We give a commentary on Newelski’s suggestion or conjecture [8] that topological dynamics, in the sense of Ellis [3], applied to the action of a definable group G(M) on its type space SG(M), can explain, account for, or give rise to, the quotient G/G00, at least for suitable groups in NIP theories. We give a positive answer for measure-stable (or fsg) groups in NIP theories. As part of our anal...
In his classical paper [28] P. R. Halmos shows that weak mixing is generic in the measure preserving transformations. Later, in his book [29], he gave a more streamlined proof of this fact based on a fundamental lemma due to V. A. Rohlin. For this reason the name of Rohlin has been attached to a variety of results, old and new, relating to the density of conjugacy classes in topological groups....
One purpose is to isolate techniques and results in representation theory which do not depend upon additional structure of the groups. Much can be done in the representation theory of compact groups without anything more than the compactness. Similarly, the discrete decomposition of L(Γ\G) for compact quotients Γ\G depends upon nothing more than compactness. Schur orthogonality and inner produc...
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