algebraic topology

noun

, Mathematics.

1. the branch of mathematics that deals with the application of algebraic methods to topology, especially the study of homology and homotopy.

Example Sentences

Ulrike Tillmann, a mathematician at the University of Oxford who served on the Abel committee, said that given Dr. Sullivan’s “absolutely fantastic work” in both algebraic topology and dynamical systems, “it was a very easy decision to make.”

From New York Times

Although ∞-categories are increasingly central to modern research in many areas of mathematics, from quantum field theory to algebraic geometry to algebraic topology, they are often considered “too hard” for all but specialists and are not featured regularly in curricula, even at the graduate level.

From Scientific American

Before Noether, topologists had been counting holes in doughnuts; she brought to bear the full power of her structures to create something called algebraic topology.

From Nature

Among the fields in which he made contributions are the homotopy theory of schemes, algebraic K-theory, and interrelations between algebraic geometry and algebraic topology.

From Washington Post

A graduate of the Massachusetts Institute of Technology who suspended his graduate studies in algebraic topology to launch BEAM, Mr. Zaharopol had some idea of what his students were up against.

From New York Times