E-Book, Englisch, 228 Seiten
Reihe: Princeton Legacy Library
Lefschetz Introduction to Topology
Erscheinungsjahr 2016
ISBN: 978-1-4008-7994-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 228 Seiten
Reihe: Princeton Legacy Library
ISBN: 978-1-4008-7994-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
In this book, which may be used as a self-contained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems.
Originally published in 1949.
The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Autoren/Hrsg.
Weitere Infos & Material
Frontmatter, pg. i
Preface, pg. v
Contents, pg. vii
Introduction, a Survey of Some Topological Concepts, pg. 1
Chapter I. Basic Information about Sets, Spaces, Vectors, Groups, pg. 26
Chapter II. Two-dimensional Polyhedral Topology, pg. 45
Chapter III. Theory of Complexes, pg. 86
Chapter IV. Transformations of Complexes. Simplicial Approximations and Related Questions, pg. 110
Chapter V. Further Properties of Homotopy. Fixed Points. Fundamental Group. Homotopy Groups, pg. 142
Chapter VI. Introduction to Manifolds. Duality Theorems, pg. 183
Bibliography, pg. 208
List of Symbols, pg. 211
Index, pg. 213
