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Generating set of a topological algebra — A generating set S of a topological algebra (e.g., a Banach algebra) A is a subset of A such that the smallest closed subalgebra of A containing S is A itself.Since polynomials are dense in the set C [0,1] of continuous functions on the interval… … Wikipedia
Topological Boolean algebra — * In abstract algebra and mathematical logic, topological Boolean algebra is one of the many names that have been used for an interior algebra in the literature.* In topological algebra the study of topological spaces with algebraic structure, a… … Wikipedia
Topological divisor of zero — In mathematics, in a topological algebra A , zin A is a topological divisor of zero if there exists a neighbourhood U of zero and a net (x i) {iin I} with forall iin I, x i in Asetminus U and zx i longrightarrow Oin A. If the topological algebra… … Wikipedia
Topological space — Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The… … Wikipedia
algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… … Universalium
Topological ring — In mathematics, a topological ring is a ring R which is also a topological space such that both the addition and the multiplication are continuous as maps : R times; R → R ,where R times; R carries the product topology. General comments The group … Wikipedia
Algebra — This article is about the branch of mathematics. For other uses, see Algebra (disambiguation). Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from… … Wikipedia
Topological group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product … Wikipedia
Topological vector space — In mathematics, a topological vector space is one of the basic structures investigated in functional analysis. As the name suggests the space blends a topological structure (a uniform structure to be precise) with the algebraic concept of a… … Wikipedia
Topological string theory — In theoretical physics, topological string theory is a simplified version of string theory. The operators in topological string theory represent the algebra of operators in the full string theory that preserve a certain amount of supersymmetry.… … Wikipedia
