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On a question of Milnor concerning singularities of maps
Published online by Cambridge University Press: 20 January 2009
Abstract
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.
- 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