Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-28T09:40:02.664Z Has data issue: false hasContentIssue false
  • English
  • Français

DETERMINING THE CHARACTERISTIC NUMBERS OF SELF-INTERSECTION MANIFOLDS

Published online by Cambridge University Press:  30 October 2000

MOHAMMAD A. ASADI-GOLMANKHANEH  and
PETER J. ECCLES
MOHAMMAD A. ASADI-GOLMANKHANEH
Affiliation:
Department of Mathematics, University of Urmia, PO Box 165, Urmia, Iran
PETER J. ECCLES
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 6FL; [email protected]
Get access

Abstract

The bordism class of a self-transverse immersion f:Mn−k ℝn corresponds to an element α of the homotopy group πnΩ∞Σ∞MO(k). It is explained how the ℤ/2 Hurewicz image h(α)∈Hn(Ω∞Σ∞MO(k);ℤ/2) may be used to determine the characteristic numbers of the self-intersection manifolds Δr(f) of the immersion f.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 1 , August 2000 , pp. 278 - 290
Copyright
The London Mathematical Society 2000

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.)