Geodesic
On topological invariants of real algebraic functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 3, pp. 4-15.

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A natural covering responsible for the complexity of the ramification of roots of the general real polynomial equation is considered, and the homology groups of its base are calculated; for equations of degree $\le 5$, a complete description of the topology of this base is given.
Mots-clés : ramification, discriminant
Keywords: real algebraic function, Schwarz genus. 
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V. A. Vassiliev. On topological invariants of real algebraic functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 3, pp. 4-15. http://geodesic.mathdoc.fr/item/FAA_2011_45_3_a1/

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