# nLab ILH manifold

### Context

#### Differential geometry

differential geometry

synthetic differential geometry

## Applications

#### Manifolds and cobordisms

manifolds and cobordisms

# Contents

## Idea

An ILH manifold – for a (possibly infinite dimensional) manifold modelled on an inverse limit of Hilbert spaces – is a topological manifold equipped with a kind of smooth structure that is more general than that of a Hilbert manifold but less general than that of a Fréchet manifold.

## References

• H. Omori, Infinite dimensional Lie transformation groups, Springer lecture notes in mathematics 427 (1974)

• H. Omori, Infinite dimensional Lie groups, translations of Mathematical monographs, 158

Revised on September 3, 2016 21:35:28 by Todd Trimble (67.81.95.215)