Definition of topology

• topographic study of a given place (especially the history of place as indicated by its topography); "Greenlands topology has been shaped by the glaciers of the ice age"
• 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
• 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