topology and geometry

up: Mathematics

Some of the subfields of topology and geometry touched in the nlab: general topology, homotopy theory, rational homotopy theory, differential geometry (including symplectic geometry, synthetic differential geometry), differential topology, algebraic geometry, noncommutative algebraic geometry, noncommutative geometry.

Nowdays however there exist many frameworks in which in a unified way, the main objects (kinds of spaces, like schemes or supermanifolds) in several of the above categories can be obtained, for example ringed space, ringed site, structured (infinity,1)-topos

Here are some nonexhaustive but longer grouped-lists of entries: geometry, topology.

Last revised on July 15, 2010 at 13:26:54. See the history of this page for a list of all contributions to it.