## Soviet Mathematics, Volume 19, Part 1 |

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### Contents

V Measurable choice and the continuum axiom | 1 |

Koh Helmut Helmut Koch The Galois group of a pclosed extension of a local | 10 |

Le Hyu Zien and Sevcenko V I Homotopy classification of Petrovskii elliptic | 18 |

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### Common terms and phrases

a-expanded Akad algebra algorithm Amer American Mathematical Society AMS MOS analogous arbitrary assume asymptotic Banach Banach space boundary value problem bounded C*-algebra calculus cell coefficients compact compact space complete computing consider constructed continuous converges convex Copyright Corollary corresponding countable defined Definition denote differential equations Dirichlet Dirichlet problem Dokl domain elements elliptic elliptic operators English transl estimate exists finite number formula function Hausdorff space homeomorphism homogeneous homogeneous space inequality integral irreducible isomorphism Lemma linear mapping matrix measure method metric Moscow Moscow State University natural number Nauk SSSR Nauka norm obtain operator parameter polynomial Primary Proposition proved quasi-conformal random regular respectively Russian satisfies the condition selfadjoint sequence solution solvable Soviet Math spectral SSSR Tom 238 Steklov subgroup subject classifications 1970 subset subspace Suppose theory tion topology torsion Translated unique variables vector zero