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Journal of the London Mathematical Society 2000 62(1):278-290; doi:10.1112/S0024610700008930
© 2000 by London Mathematical Society
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© The London Mathematical Society

Determining the Characteristic Numbers of Self-Intersection Manifolds

Mohammad A. Asadi-Golmankhaneh and Peter J. Eccles

Department of Mathematics, University of Urmia PO Box 165, Urmia, Iran
Department of Mathematics, University of Manchester Manchester M13 6FL, pjeccles{at}man.ac.uk

Received 9 April 1999. Revision received 29 June 1999.

The bordism class of a self-transverse immersion f:Mn–k{looparrowright}Rn corresponds to an element {alpha} of the homotopy group {pi}n{Omega}{infty}{Sigma}{infty}MO(k). It is explained how the Z/2 Hurewicz image h({alpha})isinHn({Omega}{infty}{Sigma}{infty}MO(k);Z/2) may be used to determine the characteristic numbers of the self-intersection manifolds {Delta}r(f) of the immersion f.


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