A topological algebra is a pair 
, where 
is an algebra
and each of the operations 
is continuous in the product
topology. Examples of topological algebras include topological
groups, topological vector spaces,
and topological rings.
Topological Algebra
See also
Topological Group, Topological Partial Algebra, Topological Ring, Topological Vector SpaceThis entry contributed by Matt Insall (author's link)
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References
Coleman, J. P. "Topological Equivalents to
-Permutability." Algebra Universalis 38,
200-209, 1997.Kearnes, K. and Sequeira, L. "Hausdorff Properties
of Topological Algebras." Algebra Universalis 47, 343-366, 2002.Referenced on Wolfram|Alpha
Topological AlgebraCite this as:
Insall, Matt. "Topological Algebra." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TopologicalAlgebra.html