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Structures on M × R

Published online by Cambridge University Press:  24 October 2008

William Browder
William Browder
Affiliation:
Institute for Advanced Study, Princeton
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Extract

A central role in the theory of smoothing combinatorial manifolds is played by the Cairns–Hirsch Theorem, which may be expressed (in a weak form) as follows:

If M is a combinatorial manifold and if M × R has a differentiable structure a, compatible with its combinatorial structure then M has a differentiable structure λ, such that (M × R)α is diffeomorphic with Mλ × R.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 2 , April 1965 , pp. 337 - 345
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

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