WebJun 30, 2014 · Generalized Bohr compactification and model-theoretic connected components. For a group first order definable in a structure , we continue the study of the "definable topological dynamics" of . The special case when all subsets of are definable in the given structure is simply the usual topological dynamics of the discrete group ; in … WebIn Section 3.4, we observe that ring components can be used to describe the [definable] Bohr compactification of a discrete ring. In Section 3.5, we introduce a notion of a model-theoretic component for a topological ring and use it to describe the Bohr compactification of such a ring. Besides elementary algebraic and model-theoretic tools ...
On L p Multipliers - JSTOR
WebHere we consider the mutual interactions of three notions or objects: a certain model-theoretic invariant G */(G *) 000 M of G, which appears to be “new” in the classical discrete case and of which we give a direct description in the paper; the [externally definable] generalised Bohr compactification of G; [externally definable] strong ... In mathematics, the Bohr compactification of a topological group G is a compact Hausdorff topological group H that may be canonically associated to G. Its importance lies in the reduction of the theory of uniformly almost periodic functions on G to the theory of continuous functions on H. … See more Given a topological group G, the Bohr compactification of G is a compact Hausdorff topological group Bohr(G) and a continuous homomorphism b: G → Bohr(G) which is See more Topological groups for which the Bohr compactification mapping is injective are called maximally almost periodic (or MAP groups). In the … See more • Compact space – Type of mathematical space • Compactification (mathematics) – Embedding a topological space into a compact space as … See more family court sydney list
Pontryagin duality - Wikipedia
WebBochner's Theorem 1.1, restated in terms of the Bohr compactification of the real line R, is the following (see [9, 1.91). A bounded function f on R is the Fourier-Stieltjes transform of a meas-ure on R if and only if it is continuous and the Fourier-Stieltjes transformr of a measure on the Bohr compactification of R. WebJan 1, 2001 · The Bohr compactification and the Bohr topology are well known for groups, but they can easily be generalized to arbitrary structures. We prove a number of theorems about Bohr topologies in this ... • The theories of ends of a space and prime ends. • Some 'boundary' theories such as the collaring of an open manifold, Martin boundary, Shilov boundary and Furstenberg boundary. • The Bohr compactification of a topological group arises from the consideration of almost periodic functions. cook frozen turkey breast oven