A topological partial algebra is a pair , where is a partial algebra and each of the operations 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.

# Topological Partial Algebra

## See also

Partial Algebra, Topological Algebra
*This entry contributed by Matt Insall
(author's link)*

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## Cite this as:

Insall, Matt. "Topological Partial Algebra." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/TopologicalPartialAlgebra.html