noun

• (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).
• (topology) Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
• (medicine) The anatomical structure of part of the body.
• (computing) The arrangement of nodes in a communications network.
• (technology) 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.
• (dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.