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Global topology of images of finite complex analytic maps

Published online by Cambridge University Press:  01 November 1997

KEVIN HOUSTON
KEVIN HOUSTON
Affiliation:
The Department of Mathematical Sciences, Division of Pure Mathematics, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX; e-mail: [email protected]
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Abstract

Let f[ratio ]X→[Copf]ℙp be a finite complex analytic map into complex projective space, with dimX<p. We obtain a result on the equivalence of low homotopy groups between the image of f and [Copf]ℙp, the level of comparison is a function of p, the maximal number of preimages of f and how bad the singularities of X are. This global result is deduced from a generalisation of a theorem of H. Hamm on the local structure of singularities, see [7].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 3 , November 1997 , pp. 491 - 501
Copyright
Cambridge Philosophical Society 1997

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