Topological Algebra

A topological algebra is a pair (A,tau), where A=(A,(f_i^A)_(i in I)) is an algebra and each of the operations f_i^A is continuous in the product topology. Examples of topological algebras include topological groups, topological vector spaces, and topological rings.

See also

Topological Group, Topological Partial Algebra, Topological Ring, Topological Vector Space

This entry contributed by Matt Insall (author's link)

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Coleman, J. P. "Topological Equivalents to n-Permutability." Algebra Universalis 38, 200-209, 1997.Kearnes, K. and Sequeira, L. "Hausdorff Properties of Topological Algebras." Algebra Universalis 47, 343-366, 2002.

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Topological Algebra

Cite this as:

Insall, Matt. "Topological Algebra." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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