nLab
C-infinity topology

Context

Topology

topology (point-set topology)

see also algebraic topology, functional analysis and homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Basic homotopy theory

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)