# A topological version of Bertini's theorem

Annales Polonici Mathematici (1995)

- Volume: 61, Issue: 1, page 89-93
- ISSN: 0066-2216

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topArtur Piękosz. "A topological version of Bertini's theorem." Annales Polonici Mathematici 61.1 (1995): 89-93. <http://eudml.org/doc/262230>.

@article{ArturPiękosz1995,

abstract = {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).},

author = {Artur Piękosz},

journal = {Annales Polonici Mathematici},

keywords = {fundamental group; branched covering; generators of the fundamental group},

language = {eng},

number = {1},

pages = {89-93},

title = {A topological version of Bertini's theorem},

url = {http://eudml.org/doc/262230},

volume = {61},

year = {1995},

}

TY - JOUR

AU - Artur Piękosz

TI - A topological version of Bertini's theorem

JO - Annales Polonici Mathematici

PY - 1995

VL - 61

IS - 1

SP - 89

EP - 93

AB - 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).

LA - eng

KW - fundamental group; branched covering; generators of the fundamental group

UR - http://eudml.org/doc/262230

ER -

## References

top- [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. Zbl0891.57004

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