Topological fields Another refinement of the notion of a field is a topological field, in which the set is a topological space, such that all operations of the field (addition, multiplication, the maps and ) are continuous maps with respect to the topology of the space. The topology of all the fields discussed below is induced from a metric, i.e., a function that measures a distance between any two elements of .
Topological fields Another refinement of the notion of a field is a topological field in which the set is a topological space, such that all operations of the field (addition, multiplication, the maps and ) are continuous maps with respect to the topology of the space. The topology of all the fields discussed below is induced from a metric, ie., a function that measures a distance between any two elements of .