Author: Armand BorelPublisher: Springer
ISBN: 3540349758
Category : Mathematics
Languages : en
Pages : 100
Book Description
Topics in the Homology Theory of Fibre Bundles
Author: Armand BorelPublisher: Springer
ISBN: 3540349758
Category : Mathematics
Languages : en
Pages : 100
Book Description
Topics in the Homology Theory of Fibre Bundles
Author: Armand BorelPublisher:
ISBN:
Category : Fiber bundles (Mathematics)
Languages : en
Pages : 95
Book Description
Homology Theory
Author: James W. VickPublisher: Springer Science & Business Media
ISBN: 1461208815
Category : Mathematics
Languages : en
Pages : 258
Book Description
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.
Topics in the Homology Theory of Fibre Bundles
Author: Armand BorelPublisher:
ISBN:
Category : Fiber bundles (Mathematics)
Languages : en
Pages : 95
Book Description
Fibre Bundles
Author: D. HusemöllerPublisher: Springer Science & Business Media
ISBN: 1475740085
Category : Mathematics
Languages : en
Pages : 333
Book Description
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.
Fibre Bundles
Author: Dale HusemöllerPublisher: Springer Science & Business Media
ISBN: 1475722613
Category : Mathematics
Languages : en
Pages : 368
Book Description
Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. The new edition of this text includes two additional chapters, one on the gauge group of a bundle and the other on the differential forms representing characteristic classes of complex vector bundles on manifolds.
Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research of the Battelle Memorial Institute, June 24 - July 19, 1968
Author: P.J. HiltonPublisher: Springer
ISBN: 3540361405
Category : Mathematics
Languages : en
Pages : 498
Book Description
Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research Center of the Battelle Memorial Institute, June 24 - July 19, 1968
Author: P. J. HiltonPublisher: Springer
ISBN: 3540360956
Category : Mathematics
Languages : en
Pages : 227
Book Description
The Topology of Fibre Bundles
Author: Norman Earl SteenrodPublisher:
ISBN:
Category : Fiber bundles (Mathematics)
Languages : en
Pages : 250
Book Description
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.
Topology of Lie Groups, I and II
Author: Mamoru MimuraPublisher: American Mathematical Soc.
ISBN: 9780821887615
Category : Lie groups
Languages : en
Pages : 462
Book Description
