On topological classification of complex mappings

Hadi Seyedinejad, and Ali Zaghian. "On topological classification of complex mappings." Annales Polonici Mathematici 114.3 (2015): 207-217. <http://eudml.org/doc/280741>.

@article{HadiSeyedinejad2015,
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 the Zariski topology.},
author = {Hadi Seyedinejad, Ali Zaghian},
journal = {Annales Polonici Mathematici},
keywords = {topology of complex analytic mappings; invariant of Kwieciński and Tworzewski},
language = {eng},
number = {3},
pages = {207-217},
title = {On topological classification of complex mappings},
url = {http://eudml.org/doc/280741},
volume = {114},
year = {2015},
}

TY - JOUR
AU - Hadi Seyedinejad
AU - Ali Zaghian
TI - On topological classification of complex mappings
JO - Annales Polonici Mathematici
PY - 2015
VL - 114
IS - 3
SP - 207
EP - 217
AB - 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.
LA - eng
KW - topology of complex analytic mappings; invariant of Kwieciński and Tworzewski
UR - http://eudml.org/doc/280741
ER -