On topological classification of complex mappings

• Autorzy: Hadi Seyedinejad , Ali Zaghian
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 32C18: Topology of analytic spaces
• 32S60: Stratifications; constructible sheaves; intersection cohomology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 114
• Numer: 3
• Strony: 207-217

Daty

wydano

2015

Twórcy

autor

Hadi Seyedinejad

• Department of Pure Mathematics, University of Kashan, Kashan, Isfahan 87317-51167, Iran

autor

Ali Zaghian

• Department of Mathematics, Malek Ashtar University of Technology, Shahin Shahr, Isfahan 83145-115, Iran

Identyfikatory

DOI

10.4064/ap114-3-2