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arXiv · 1612.04422

On topological classification of complex mappings

Hadi Seyedinejad
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Abstract

We study the topological invariant $ϕ$ of Kwieciński and Tworzewski, particularly beyond the case of mappings with smooth targets. We derive a lower bound for $ϕ$ of a general mapping, which is similarly effective as the upper bound given by Kwieciński and Tworzewski. Some classes of mappings are identified for which the exact value of $ϕ$ can be computed. Also, we prove that the variation of $ϕ$ on the source space of a mapping with a smooth target is semicontinuous in Zariski topology.

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Hadi Seyedinejad. 2016-12-15. On topological classification of complex mappings. https://arxiv.org/abs/1612.04422

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