A topological version of Bertini's theorem

• Autorzy: Artur Piękosz
• Języki publikacji: EN

Abstrakty

EN

We give a topological version of a Bertini type theorem due to Abhyankar. A new definition of a branched covering is given. If the restriction $π_V: V → Y$ of the natural projection π: Y × Z → Y to a closed set V ⊂ Y × Z is a branched covering then, under certain assumptions, we can obtain generators of the fundamental group π₁((Y×Z)\V).

Słowa kluczowe

EN

fundamental group; branched covering

Kategorie tematyczne

• 55Q52: Homotopy groups of special spaces
• 57M12: Special coverings, e.g. branched

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1995
• Tom: 61
• Numer: 1
• Strony: 89-93

Daty

wydano

1995

otrzymano

1994-04-11

Twórcy

autor

Artur Piękosz

• Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland

Bibliografia

• [1] S. S. Abhyankar, Local Analytic Geometry, Academic Press, New York and London, 1964.
• [2] A. Piękosz, Basic definitions and properties of topological branched coverings, to appear.