Topology meaning : A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms. A collection τ of subsets of a set X such that the empty set and X are both members of τ, and τ is closed under finitary intersections and arbitrary unions. The anatomical structure of part of the body. The arrangement of nodes in a communications network. The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application. (topography) The topographical study of geographic locations or given places in relation to their history. The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.