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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Abstract
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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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