[to.pol.o.gy] n, pl -gies [ISV] (1850) 1: topographic study of a particular place; specif: the history of a region as indicated by its topography
2. a (1): a branch of mathematics concerned with those properties of geometric configurations (as point sets) which are unaltered by elastic deformations (as a stretching or a twisting) that are homeomorphisms (2): the set of all open subsets of a topological space b: configuration "~ of a molecule" "~ of a magnetic field" -- to.pol.o.gist n