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 the Zariski topology.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-3-2,
author = {Hadi Seyedinejad and Ali Zaghian},
title = {On topological classification of complex mappings},
journal = {Annales Polonici Mathematici},
volume = {113},
year = {2015},
pages = {207-217},
zbl = {1323.32010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-3-2}
}
Hadi Seyedinejad; Ali Zaghian. On topological classification of complex mappings. Annales Polonici Mathematici, Tome 113 (2015) pp. 207-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-3-2/