topology (Noun) — Topographic study of a given place (especially the history of the place as indicated by its topography). ex. "Greenland's topology has been shaped by the glaciers of the ice age"
topology (Noun) — The study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region.
topology (Noun) — (mathematics) the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions.
topology (Noun) — The configuration of a communication network.