Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-23T08:27:17.667Z Has data issue: false hasContentIssue false
  • English
  • Français

On transversality

Published online by Cambridge University Press:  24 October 2008

J. F. P. Hudson
J. F. P. Hudson
Affiliation:
Department of Pure Mathematics, Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

The simplest definition of transversality in the PL or Top categories is the purely local one: Manifolds M and N are transverse in Q if, for each point x of their intersection, there is a (closed) neighbourhood U of x in Q and a (PL) homeomorphism

for suitable p, q, and r

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 17 - 20
Copyright
Copyright © Cambridge Philosophical Society 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Armstrong, M. A. and Zeeman, E. C.Piecewise linear transversality. Bull. Amer. Math. Soc. 73 (1967), 184–188.Google Scholar
(2)Lickobish, W. B. R.The piecewise linear unknotting of cones. Topology 4 (1965), 67–91.Google Scholar
(3)Haefliger, A. and Wall, C. T. C.Piecewise linear bundles in the stable range. Topology 4 (1965), 209–214.CrossRefGoogle Scholar
(4)Milnor, J. and Kervaire, M.Groups of homotopy spheres. I. Ann. of Math. 77 (1963), 504–537.Google Scholar
(5)Htrsch, M.On non-linear cell bundles. Ann. of Math. 84 (1966), 373–385.Google Scholar
(6)Zeeman, E. C.Isotopies and knots in manifolds. Topology of 3-manifolds, ed. Fort, M. K. (Prentice-Hall, 1962).Google Scholar