= Locally compact field
{wiki=Locally_compact_field}
A **locally compact field** is a type of field that has the property of being locally compact with respect to its topology. In the context of field theory, a field is a set equipped with two operations (typically addition and multiplication) satisfying certain axioms. When we talk about a "locally compact field," we are often examining topological fields, which are fields that also have a topology that is compatible with the field operations.
Back to article page