Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Homology of Hopf Spaces PDF full book. Access full book title The Homology of Hopf Spaces by R.M. Kane. Download full books in PDF and EPUB format.
Author: R.M. Kane Publisher: North Holland ISBN: Category : Mathematics Languages : en Pages : 504
Book Description
This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.
Author: R.M. Kane Publisher: North Holland ISBN: Category : Mathematics Languages : en Pages : 504
Book Description
This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.
Author: Paul Selick Publisher: American Mathematical Soc. ISBN: 9780821844366 Category : Mathematics Languages : en Pages : 220
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: J. P. May Publisher: University of Chicago Press ISBN: 0226511782 Category : Mathematics Languages : en Pages : 544
Book Description
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.
Author: Robert E. Mosher Publisher: Courier Corporation ISBN: 0486466647 Category : Mathematics Languages : en Pages : 226
Book Description
Cohomology operations are at the center of a major area of activity in algebraic topology. This treatment explores the single most important variety of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. 1968 edition.
Author: J. P. May Publisher: University of Chicago Press ISBN: 9780226511832 Category : Mathematics Languages : en Pages : 262
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: Akira Kōno Publisher: American Mathematical Soc. ISBN: 9780821835142 Category : Mathematics Languages : en Pages : 276
Book Description
Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.
Author: R.M. Kane
Author: R.M. Kane
Author: F. R. Cohen
Author: Francois Sigrist
Author: 
Author: James Stasheff
Author: Paul Selick
Author: J. P. May
Author: Robert E. Mosher
Author: J. P. May
Author: Akira Kōno