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ON THE SINGULARITIES OF HYPERPLANE PROJECTIONS OF IMMERSIONS

Published online by Cambridge University Press:  01 May 2000

ANDRÁS SZŰCS
ANDRÁS SZŰCS
Affiliation:
Elte TTK Analizis, H-1088 Kecskeméti u. 10–12, Budapest, Hungary
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Abstract

Given an oriented manifold and its immersion in a euclidean space, we compute the oriented cobordism class of the manifold of [sum ]1r singular points of the projection of the immersion to a hyperplane. For immersions of non-oriented manifolds, we show that the cobordism class of the domain manifold determines those of all [sum ]1r singularity manifolds of the hyperplane projection. Finally, we investigate the possible (algebraic) number of cusps (that is, [sum ]1,1 singular points) of generic maps of oriented 4t-manifolds in R6t−1.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 3 , May 2000 , pp. 364 - 374
Copyright
© The London Mathematical Society 2000

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