Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-26T13:24:57.649Z Has data issue: false hasContentIssue false
  • English
  • Français

Cobordism of homology manifolds

Published online by Cambridge University Press:  24 October 2008

N. Martin
N. Martin
Affiliation:
Christ's College, Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

It is the object of this paper to prove a transversality theorem for homology manifolds which is strong enough to be then able to prove a Thom theorem for the cobordism ring of homology manifolds. The new bundle theory necessary for this follows on naturally from that developed in ‘Homology Cobordism Bundles’(2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 2 , March 1972 , pp. 247 - 270
Copyright
Copyright © Cambridge Philosophical Society 1972

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)Brown, R.Elements of general topology (McGraw-Hill; London, 1970).Google Scholar
(2)Martin, N. and Maunder, C. R. F. Homology cobordism bundles. Topology (to appear).Google Scholar
(3)Maunder, C. R. F.Algebraic topology (Van Nostrand; London, 1970).Google Scholar
(4)Maunder, C. R. F. On the pontryagin classes of homology manifolds. Topology (to appear).Google Scholar
(5)Rourke, C. P. and Saunderson, B. J.Block bundles II. Ann. of Math. 87 (1968), 255–277.Google Scholar
(6)Rourke, C. P. and Saunderson, B. J.Δ-sets I. Mimeo. Notes (Warwick, 1969).Google Scholar
(7)Rourke, C. P. and Sanderson, B. J.Δ-sets II. Mimeo. Notes (Warwick, 1969).Google Scholar
(8)Stallings, J. R.Lectures on polyhedral topology (Tata Institute of Fundamental Research; Bombay, 1968).Google Scholar