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57R: Differential topology


Introduction

History

Applications and related fields

For application to the classification of real division algebras see the division ring FAQ.

For foundational questions of differentiable manifolds, See 58Axx; for infinite-dimensional manifolds, See 58Bxx

Specific manifolds may be treated as Lie groups, etc; for example the classical groups (viewed as geometric objects) are considered in 51N30.

Subfields

Parent field: 57: Manifolds and Cell complexes

Browse all (old) classifications for this area at the AMS.


Textbooks, reference works, and tutorials

Software and tables

Other web sites with this focus

Selected topics at this site

The Nash embedding theorem states that a Riemannian manifold embeds in some R^n isometrically. Here are some variants:

Spheres are great places to think about vector fields and so on; see the sphere FAQ.


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Last modified 2000/01/14 by Dave Rusin. Mail: