mathematics, differential topology is the field dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology...

are given over the space. Differential geometry is closely related to, and is sometimes taken to include, differential topology, which concerns itself with...

of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology. The...

r-dimensional integral manifolds. The theorem is foundational in differential topology and calculus on manifolds. Contact geometry studies 1-forms that...

necessarily a discrete subspace of its domain X . {\displaystyle X.} In differential topology: Let M {\displaystyle M} and N {\displaystyle N} be smooth manifolds...

Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds...

branches of topology, including differential topology, geometric topology, and algebraic topology. The fundamental concepts in point-set topology are continuity...

may cross itself (and may have other singularities), while, in topology and differential geometry, it may not. A surface is a two-dimensional space; this...

have a number of nice properties and are an important concept in differential topology. Three special cases of constant rank maps occur. A constant rank...

specific to differential geometry and differential topology. The following three glossaries are closely related: Glossary of general topology Glossary of...