Topological Partial Algebra

A topological partial algebra is a pair (A,tau), where A=(A,(f_i^A)_(i in I)) is a partial algebra and each of the operations f_i^A is continuous in the product topology. Examples of topological partial algebras include topological groups, topological vector spaces, and topological fields. Specifically, a topological field is an example of a topological partial algebra that is not a topological algebra in the strict sense of the term.

See also

Partial Algebra, Topological Algebra

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

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

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