Extent - Mathematics & Logic - Pure Mathematics Dictionary Definition The extent E(X) of a topological space X is the supremum of the cardinalities of closed discrete subspaces of X; equivalently, the largest cardinal κ such that X contains a closed discrete subset of cardinality κ.
Extent - Mathematics & Logic - Pure Mathematics Dictionary Definition The extent E(X) of a topological space X is the supremum of the cardinalities of closed discrete subspaces of X; equivalently, the largest cardinal κ such that X contains a closed discrete subset of cardinality κ.