Generalization of p-regularity notion and tangent cone description in the singular case

• Autorzy: Wiesław Grzegorczyk , Beata Medak , Alexey A. Tret’yakov
• Języki publikacji: EN

Abstrakty

EN

The theory of p-regularity has approximately twenty-five years’ history and many results have been obtained up to now. The main result of this theory is description of tangent cone to zero set in singular case. However there are numerous nonlinear objects for which the p-regularity condition fails, especially for p > 2. In this paper we generalize the p-regularity notion as a starting point for more detailed consideration based on different p-factor operators constructions.

Słowa kluczowe

EN

p-regularity; singularity; nonlinear mapping; p-factor operator; curves; surfaces

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2012
• Tom: 66
• Numer: 2

Daty

wydano

2012

online

2016-07-25

Twórcy

autor

Wiesław Grzegorczyk

autor

Beata Medak

autor

Alexey A. Tret’yakov

Bibliografia

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Identyfikatory

DOI

10.17951/a.2012.66.2.63-79