Algebraic Topology

one of the early achievements of algebraic topology

Brown's representability theorem in homotopy theory gives necessary and sufficient conditions

He worked in algebraic topology, in the theory of Lie groups

was a French mathematician, who worked on both partial differential equations and algebraic topology

who worked on algebraic topology and epistemology of mathematics

a German mathematician and renowned algebraic topologist

noted for work in both algebraic topology and soliton theory

who worked in general topology, algebraic topology and dimension theory

made substantial contributions to algebraic topology

including algebraic topology, differential topology and optimal control

Voevodsky's work was in the intersection of algebraic geometry with algebraic topology

specialising in algebraic topology, differential topology and differential geometry

is a French mathematician, topologist, who works on K-theory

His legacy lives on in modern algebraic topology

George Whitehead was instrumental in shepherding homotopy theory

who worked in algebraic topology and was one of the founders of homological algebra

a researcher in knot theory and algebraic topology

main research interests are in algebraic topology

He wrote an important text-book on algebraic topology.

made numerous contributions in algebraic topology, geometry, measure theory, probability theory, ergodic theory and entropy theory

William Threlfall was a German mathematician who worked on algebraic topology.

Edwin Spanier was an American mathematician who worked in algebraic topology.

Mikhail Postnikov was a Soviet mathematician who worked in algebraic and differential topology.

In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1 .

matics, the Hurewicz theorem is a basic result of algebraic topology, connecting homotopy theory with homology theory via a map kn

e Whitehead asphericity conjecture) is a claim in algebraic topology.

John Henry Constantine Whitehead (11 November 1904-8 May 1960), known as "Henry", was a British mathematician and was one of the founders of homotopy theory.

He made substantial contributions to algebraic topology and also took an interest in literature, philosophy, history and mathematics education.

Edgar Henry Brown, Jr. (December 27, 1926, December 22, 2021) was an American mathematician specializing in algebraic topology, and for many years a professor at Brandeis University. == Life == Brown was born in Oak Park, Illinois.

Соломо́н Ле́фшец; 3 September 1884-5 October 1972) was a Russian-born American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations. == Life == He was born in Moscow, the son of Alexander

It therefore connects ramification with algebraic topology, in this case.

Topology Algebraic Topology

Jean-Pierre Serre is a French mathematician who has made important contributions to algebraic topology, algebraic geometry, and algebraic number theory.

Leopold Vietoris was a long-lived Austrian mathematician best known for his contributions to topology, especially the Mayer-Vietoris sequence. He was also interested in mathematical history.