On topological classification of complex mappings
Tom 114 / 2015
Annales Polonici Mathematici 114 (2015), 207-217
MSC: Primary 32H02; Secondary 32C18, 32S60.
DOI: 10.4064/ap114-3-2
Streszczenie
We study the topological invariant of Kwieciński and Tworzewski, particularly beyond the case of mappings with smooth targets. We derive a lower bound for \phi 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 \phi can be computed. Also, we prove that the variation of \phi on the source space of a mapping with a smooth target is semicontinuous in the Zariski topology.
