Multidimensional topological Galois theory
Algebraic Geometry
2019-04-17 v1 Complex Variables
Abstract
In this preprint we present an outline of the multidimensional version of topological Galois theory. The theory studies topological obstruction to solvability of equations "in finite terms" (i.e. to their solvability by radicals, by elementary functions, by quadratures and so on). This preprint is based on the author's book on topological Galois theory. It contains definitions, statements of results and comments to them. Basically no proofs are presented. This preprint was written as a part of the comments to a new edition (in preparation) of the classical book "Integration in finite terms" by J.F.~Ritt.
Cite
@article{arxiv.1904.07228,
title = {Multidimensional topological Galois theory},
author = {Askold Khovanskii},
journal= {arXiv preprint arXiv:1904.07228},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1904.03341