Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Topics In The Homology Theory Of Fibre Bundles PDF full book. Access full book title Topics In The Homology Theory Of Fibre Bundles.
| Author | : Armand Borel |
| Publisher | : Springer |
| Total Pages | : 100 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540349758 |
| Author | : Armand Borel |
| Publisher | : |
| Total Pages | : 95 |
| Release | : 1967 |
| Genre | : Fiber bundles (Mathematics) |
| ISBN | : |
| Author | : Armand Borel |
| Publisher | : |
| Total Pages | : 95 |
| Release | : 1967 |
| Genre | : Fiber bundles (Mathematics) |
| ISBN | : |
| Author | : Armand Borel |
| Publisher | : |
| Total Pages | : 232 |
| Release | : 1954 |
| Genre | : Fiber bundles (Mathematics) |
| ISBN | : |
| Author | : Norman Steenrod |
| Publisher | : Princeton University Press |
| Total Pages | : 242 |
| Release | : 1999-04-25 |
| Genre | : Mathematics |
| ISBN | : 9780691005485 |
Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.
| Author | : Norman Earl Steenrod |
| Publisher | : |
| Total Pages | : 248 |
| Release | : 1951 |
| Genre | : Fiber bundles (Mathematics) |
| ISBN | : |
Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.
| Author | : Mahima Ranjan Adhikari |
| Publisher | : Springer Nature |
| Total Pages | : 488 |
| Release | : 2023-03-15 |
| Genre | : Mathematics |
| ISBN | : 9811665508 |
This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power and active learning of the subject, all the while covering a wide range of theory and applications in a balanced unified way.
| Author | : D. Husemöller |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 333 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1475740085 |
The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the defini tion of fibre bundle had been clearly formulated, the homotopy classifica tion of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general Riemann-Roch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirze bruch as modified by Grothendieck.
| Author | : James W. Vick |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 258 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461208815 |
This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition includes a chapter on covering spaces and many new exercises.
| Author | : Armand Borel |
| Publisher | : |
| Total Pages | : |
| Release | : 1967 |
| Genre | : |
| ISBN | : |
