Approximation of smooth manifolds by real algebraic sets

Abstract

CONTENTS Introduction § 1. The main results § 2. History of the problem § 3. Proof of Theorems 2, 6, and 7 § 4. The approximation of manifolds together with homology classes, vector bundles, submanifolds, etc. § 5. Some contiguous results § 6. Problems Appendix 1. Grassmann varieties as algebraic sets Appendix 2. Two theorems on cobordisms Appendix 3. Some properties of real algebraic sets Appendix 4. Singular algebraic sets References