TY - BOOK AU - Forstneric,Franc TI - Stein manifolds and holomorphic mappings: the homotopy principle in complex analysis T2 - Ergebnisse der mathematik und ihrer grenzgebiete. 3. folge / a series of modern surveys in mathematics SN - 9783319610573 (hardcover : alk. paper) U1 - 514.24 23 PY - 2017/// CY - Cham PB - Springer KW - Homotopy theory. KW - Stein manifolds. KW - Holomorphic mappings N1 - Include bibliographical references and indexes; 1. Preliminaries. - 2. Stein Manifolds. - 3. Stein Neighborhoods and Holomorphic Approximation. - 4. Automorphisms of Complex Euclidean Spaces. - 5. Oka Manifolds. - 6. Elliptic Complex Geometry and Oka Theory - 7. Flexibility properties of complex manifolds and holomorphic maps -- 8. Applications of Oka theory and its methods -- 9. Embeddings, Immersions and Submersions.- 10. Topological Methods in Stein Geometry. - References. - Index N2 - The theme of this book is an examination of the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds, offering the first complete account of Oka-Grauert theory and its modern extensions. ER -