nLab
C-infinity topology

Context

Topology

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

Mapping space

Contents

Idea

The Whitney C kC^k topology is a topology on the set C (X,Y)C^\infty(X,Y) of smooth functions between two smooth manifolds, induced from the natural topology of the order-kk jet spaces of maps from XX to YY.

Often, and espcially for k=k = \infty this is just called the C kC^k-topology .

References

  • Kriegl, Michor,

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Revised on April 21, 2014 06:35:18 by Mike Shulman (108.247.151.163)