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Counting singularities

Published online by Cambridge University Press:  14 November 2011

J. W. Bruce
J. W. Bruce
Affiliation:
Department of Mathematics, University College, Cork, Eire
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Synopsis

In this paper we obtain information on the parity of the number of singularities associated with generic mappings and families of functions. More generally we obtain results relating homology cycles (with ℤ2 coefficients) associated with certain singularity types. The methods employed are elementary, and rely on computations of local incidence numbers associated with certain manifold partitions or stratifications. These computations are carried out for some stratifications arising naturally within singularity theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 1-2 , 1982 , pp. 137 - 159
Copyright
Copyright © Royal Society of Edinburgh 1982

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