A metric space is said to be disconnected if it is the disjoint union of two non-empty open sets. Example: The real line with the usual metric, where the two open sets are the sets of negative and positive real numbers.
A metric space is said to be disconnected if it is the disjoint union of two non-empty open sets. Example: The real line with the usual metric, where the two open sets are the sets of negative and positive real numbers.