Geodesic
A topological version of Bertini's theorem
Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 89-93.

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

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).
DOI : 10.4064/ap-61-1-89-93
Keywords: fundamental group, branched covering

Artur Piękosz 1

1 
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Artur Piękosz. A topological version of Bertini's theorem. Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 89-93. doi : 10.4064/ap-61-1-89-93. http://geodesic.mathdoc.fr/articles/10.4064/ap-61-1-89-93/

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