In mathematics, geometry and topology is an umbrella term for the historically distinct disciplines of geometry and topology, as general frameworks allow both disciplines to be manipulated uniformly, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and Chern–Weil theory.
Sharp distinctions between geometry and topology can be drawn, however, as discussed below.[clarification needed]
It is also the title of a journal Geometry & Topology that covers these topics.