WebThe Bohr compactification of an LCA group We now define the Bohr compactification of an LCA group G in such a way as might come from a clever observation; if G were compact, we know from the theorems of the last section that G bb ∼= G is also compact. In some sense, G bb is compact because Gb is discrete. In WebIn mathematics, a rigid analytic space is an analogue of a complex analytic space over a nonarchimedean field.Such spaces were introduced by John Tate in 1962, as an outgrowth of his work on uniformizing p-adic elliptic curves with bad reduction using the multiplicative group.In contrast to the classical theory of p-adic analytic manifolds, rigid analytic …
Compact p-adic semigroups
WebJun 22, 2016 · This paper provides a unifying framework for a range of categorical constructions characterised by universal mapping properties, within the realm of compactifications of discrete structures. Some classic examples fit within this broad picture: the Bohr compactification of an abelian group via Pontryagin duality, the zero … Webgroup of a-adic integers with a = (2;3;4;5;:::), where Z is the group of integers. (2) If G is divisible, then bG contains a closed subgroup topologically isomorphic to a power of the … charcoal grey blazer women\u0027s
[1406.7730] Generalized Bohr compactification and model-theoretic ...
WebJul 29, 2024 · We will prove that, for any abelian group G, the canonical (surjective and continuous) mapping $$\\varvec{\\beta }G\\rightarrow \\mathfrak {b}G$$ β G → b G from the Stone–Čech compactification $$\\varvec{\\beta }G$$ β G of G to its Bohr compactification $$\\mathfrak {b}G$$ b G is a homomorphism with respect to the … WebOct 24, 2008 · Notations.If G denotes an Abelian group and L a locally compact group topology on G, G (L) will denote the resulting topological group, and will denote the character group with the usual Pontrjagin topology (which is locally compact). R n will denote the real n-dimensional vector group.Finally, for any set X, X will denote its cardinal … WebMay 1, 2024 · Bohr compactification and almost-periodicity One use made of Pontryagin duality is to give a general definition of an almost-periodic function on a non-compact … charcoal grey blazer mens