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topologized group

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  • Adele ring — In number theory, the adele ring is a topological ring which is built on the field of rational numbers (or, more generally, any algebraic number field). It involves all the completions of the field.The word adele is short for additive idele .… …   Wikipedia

  • Schwartz-Bruhat function — In mathematics, a Schwartz Bruhat function is a function on a locally compact abelian group, such as the adeles, that generalizes a Schwartz function on a real vector space. A tempered distribution is defined as a continuous linear functional on… …   Wikipedia

  • Ultrafilter — In the mathematical field of set theory, an ultrafilter on a set X is a collection of subsets of X that is a filter, that cannot be enlarged (as a filter). An ultrafilter may be considered as a finitely additive measure. Then every subset of X is …   Wikipedia

  • Hing Tong — (February 16, 1922 – March 4, 2007) was a leading American mathematician. He is well known for providing the original proof of the Katetov Tong insertion theorem.LifeHing Tong was born in Canton, China. He received his bachelor s degree from the… …   Wikipedia

  • Power set — In mathematics, given a set S , the power set (or powerset) of S , written mathcal{P}(S), P ( S ), or 2 S , is the set of all subsets of S . In axiomatic set theory (as developed e.g. in the ZFC axioms), the existence of the power set of any set… …   Wikipedia

  • Hilbert manifold — In mathematics, a Hilbert manifold is a manifold modeled on Hilbert spaces. Thus it is a separable Hausdorff space in which each point has a neighbourhood homeomorphic to an infinite dimensional Hilbert space. The concept of a Hilbert manifold… …   Wikipedia

  • Rigid analytic space — In mathematics, a rigid analytic space is an analogue of a complex analytic space over a nonarchimedean field. They were introduced by John Tate in 1962, as an outgrowth of his work on uniformizing p adic elliptic curves with bad reduction using… …   Wikipedia

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