Author: James D. Stasheff
Publisher:
ISBN:
Category : H-spaces
Languages : en
Pages : 58

Get Book Here

Book Description

Author: James Stasheff
Publisher: Springer
ISBN: 3540363149
Category : Mathematics
Languages : en
Pages : 100

Get Book Here

Book Description

Author: Marcelo Aguilar
Publisher: Springer Science & Business Media
ISBN: 0387224890
Category : Mathematics
Languages : en
Pages : 499

Get Book Here

Book Description
The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.

Author: Brayton Gray
Publisher: American Mathematical Soc.
ISBN: 1470423081
Category : Mathematics
Languages : en
Pages : 124

Get Book Here

Book Description
Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. This work describes their -space properties as well as universal properties. Techniques include a new kind on Whitehead product defined for maps out of co-H spaces, calculations in an additive category that lies between the unstable category and the stable category, and a controlled version of the extension theorem of Gray and Theriault (Geom. Topol. 14 (2010), no. 1, 243–275).

Author: Francois Sigrist
Publisher: Springer
ISBN: 3540366210
Category : Mathematics
Languages : en
Pages : 165

Get Book Here

Book Description

Author: Paul Selick
Publisher: American Mathematical Soc.
ISBN: 9780821844366
Category : Mathematics
Languages : en
Pages : 220

Get Book Here

Book Description
Offers a summary for students and non-specialists who are interested in learning the basics of algebraic topology. This book covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, and generalized homology and cohomology operations.

Author: Roy René Douglas
Publisher:
ISBN:
Category :
Languages : en
Pages : 110

Get Book Here

Book Description

Author: J. P. May
Publisher: University of Chicago Press
ISBN: 9780226511832
Category : Mathematics
Languages : en
Pages : 262

Get Book Here

Book Description
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Author: Francis Dudley Williams
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 132

Get Book Here

Book Description

Author: T. Bröcker
Publisher: Springer Science & Business Media
ISBN: 3662129183
Category : Mathematics
Languages : en
Pages : 323

Get Book Here

Book Description
This introduction to the representation theory of compact Lie groups follows Herman Weyl’s original approach. It discusses all aspects of finite-dimensional Lie theory, consistently emphasizing the groups themselves. Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations. Each section contains a range of exercises, and 24 figures help illustrate geometric concepts.