(topology) The act or process of topologizing; the result of a process of topologizing, especially the topology so produced.

(mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).

Of or relating to topology; topological.

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

(mathematics) A field that is also a topological space in which addition and multiplication are both continuous.

plural of topological field

(graph theory, computer science) An ordering of the vertices of a directed graph such that if an edge goes from vertex u to vertex v then u precedes v in the ordering.

(topology, formally) An ordered pair (X, τ), where X is a set and τ, called the topology, is a collection of subsets of X which satisfies certain axioms and whose elements are called the open sets (or alternatively, for a different set of axioms, the closed sets);

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

plural of topological insulator