Geodesic
On topological classification of complex mappings
Hadi Seyedinejad1 ; Ali Zaghian2
1 Department of Pure Mathematics University of Kashan Kashan, Isfahan 87317-51167, Iran
2 Department of Mathematics Malek Ashtar University of Technology Shahin Shahr, Isfahan 83145-115, Iran
Annales Polonici Mathematici, Tome 114 (2015) no. 3, pp. 207-217

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the topological invariant $\phi $ 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.
DOI : 10.4064/ap114-3-2
Keywords: study topological invariant phi kwieci ski tworzewski particularly beyond mappings smooth targets derive lower bound phi general mapping which similarly effective upper bound given kwieci ski tworzewski classes mappings identified which exact value phi computed prove variation phi source space mapping smooth target semicontinuous zariski topology

Hadi Seyedinejad 1 ; Ali Zaghian 2

1 Department of Pure Mathematics University of Kashan Kashan, Isfahan 87317-51167, Iran
2 Department of Mathematics Malek Ashtar University of Technology Shahin Shahr, Isfahan 83145-115, Iran 
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Hadi Seyedinejad; Ali Zaghian. On topological classification of complex mappings. Annales Polonici Mathematici, Tome 114 (2015) no. 3, pp. 207-217. doi: 10.4064/ap114-3-2

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