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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]
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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

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