Abstract
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 ⩽ 5, a complete description of the topology of this base is given.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 45, No. 3, pp. 4–15, 2011
Original Russian Text Copyright © by V. A. Vassiliev
To the memory of Vladimir Igorevich Arnold
Supported by the program “Leading Scientific Schools,” grant no. NSh-8462.2010.1.
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Vassiliev, V.A. On topological invariants of real algebraic functions. Funct Anal Its Appl 45, 163–172 (2011). https://doi.org/10.1007/s10688-011-0020-y
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DOI: https://doi.org/10.1007/s10688-011-0020-y