(topology) subspace topology

(topology) The topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X.

(topology) The topology of the real number system generated by a basis which consists of all open balls (in the real number system), which are defined in terms of the one-dimensional Euclidean metric.

(topology) The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper.

a material which conducts electrons only along its edges and surfaces, but does not conduct in its interior

plural of topological insulator

(category theory) A structure on a category which makes the category's objects act like the open sets of a topological space.

(topology) A topology consisting of the empty set and all cofinite subsets of the underlying set.

(topology) A topology consisting only of the empty set and the underlying set.

(topology) A property of a topological space that is invariant under homeomorphisms.