nLab
ILH manifold

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Differential geometry

differential geometry

synthetic differential geometry

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Manifolds and cobordisms

manifolds and cobordisms

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Theorem

Contents

Idea

An ILH manifold – for a 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 July 2, 2012 07:41:34 by Toby Bartels (98.16.174.113)
Edit | Back in time (4 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: (infinity,n)-category of cobordisms, cobordism, supermanifold, manifold, cobordism hypothesis, cobordism category, Riemannian manifold, complex supermanifold, pseudo-Riemannian manifold, Riemann surface, Banach manifold, Thom spectrum, manifold with boundary, Pontrjagin-Thom collapse map, Thom isomorphism, smooth manifold, manifolds and cobordisms - contents, mapping class group, differentiable manifold, B-bordism, torus, circle, coordinate system, atlas, complex manifold, infinite-dimensional manifold, contents of contents, branched manifold, 2-framing, String bordism, Hopf fibration, generalized Calabi-Yau manifold, convenient manifold, ILH manifold, Stein manifold, framed manifold, quantomorphism group, Hilbert manifold, geometrization conjecture, elliptization conjecture, low-dimensional topology, generalized G2-manifold, projective manifold, super Riemann surface, closed manifold, non-Hausdorff manifold