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On a question of Milnor concerning singularities of maps

Published online by Cambridge University Press:  20 January 2009

Elmer G. Rees
Elmer G. Rees
Affiliation:
Department of Mathematics and Statistics, James Clerk Maxwell Building, King's Buildings, Edinburgh EH9 3JZ, UK
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Abstract

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Restrictions are given on the dimensions m and k for which there is a map f: ℝ m → ℝk whose Jacobian has rank k in a neighbourhood of a singular point if f is either quadratic or even. The restrictions are shown to be best possible in the quadratic case.

Keywords

singularitiesreal polynomialsMilnor's hypothesisnon-singular real matrices
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 1 , February 2000 , pp. 149 - 153
Copyright
Copyright © Edinburgh Mathematical Society 2000

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