EBookClubs

Read Books & Download eBooks Full Online

EBookClubs

Read Books & Download eBooks Full Online

Book The Steenrod Algebra and Its Applications

Download or read book The Steenrod Algebra and Its Applications written by F. P. Peterson and published by Springer. This book was released on 2006-11-15 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Steenrod Algebra and Its Applications

Download or read book The Steenrod Algebra and Its Applications written by F. P. Peterson and published by . This book was released on 2014-01-15 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Steenrod Algebra and Its Applications

Download or read book The Steenrod Algebra and Its Applications written by F.P. Peterson and published by . This book was released on 1970 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Steenrod Algebra and Its Applications

Download or read book The Steenrod Algebra and Its Applications written by and published by . This book was released on 1970 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Unstable Modules Over the Steenrod Algebra and Sullivan s Fixed Point Set Conjecture

Download or read book Unstable Modules Over the Steenrod Algebra and Sullivan s Fixed Point Set Conjecture written by Lionel Schwartz and published by University of Chicago Press. This book was released on 1994-07-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. Lionel Schwartz collects here for the first time some of the most innovative work on the theory of modules over the Steenrod algebra, including ideas on the Segal conjecture, work from the late 1970s by Adams and Wilkerson, and topics in algebraic group representation theory. This course-tested book provides a valuable reference for algebraic topologists and includes foundational material essential for graduate study.

Book Polynomials and the mod 2 Steenrod Algebra

Download or read book Polynomials and the mod 2 Steenrod Algebra written by Grant Walker and published by Cambridge University Press. This book was released on 2018 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.

Book The Steenrod algebra and its applications

Download or read book The Steenrod algebra and its applications written by and published by . This book was released on 1970 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Cohomology Operations and Applications in Homotopy Theory

Download or read book Cohomology Operations and Applications in Homotopy Theory written by Robert E. Mosher and published by Courier Corporation. This book was released on 2008-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Rational Representations  the Steenrod Algebra and Functor Homology

Download or read book Rational Representations the Steenrod Algebra and Functor Homology written by Vincent Franjou and published by . This book was released on 2003 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents aspects of homological algebra in functor categories, with emphasis on polynomial functors between vector spaces over a finite field. With these foundations in place, the book presents applications to representation theory, algebraic topology and $K$-theory. As these applications reveal, functor categories offer powerful computational techniques and theoretical insights. T. Pirashvili sets the stage with a discussion of foundations. E. Friedlander then presents applications to the rational representations of general linear groups. L. Schwartz emphasizes the relation of functor categories to the Steenrod algebra. Finally, V. Franjou and T. Pirashvili present A. Scorichenko's understanding of the stable $K$-theory of rings as functor homology. The book is suitable for graduate students and researchers interested in algebra and algebraic geometry.

Book Spectra and the Steenrod Algebra

Download or read book Spectra and the Steenrod Algebra written by H.R. Margolis and published by Elsevier. This book was released on 2011-08-18 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories. Beyond the basic definitions and structure, the focus is often on particular problems, for example, Adams’ use of K-theory to solve the vector fields on spheres problem. On the other hand, there are contributions of a more global nature yielding insight into the overall structure of some topological category, for example, Quillen’s work on rational homotopy type. This book is intended primarily as a contribution of this latter sort. So while there will be a variety of particular examples and computations, and although the structure being developed has significant application to many specific problems (some of which are considered here), the major thrust of the text is toward understanding the global structure and linkage of the topological and algebraic categories considered: the stable homotopy category and the category of modules over the Steenrod algebra.

Book Polynomials and the mod 2 Steenrod Algebra

Download or read book Polynomials and the mod 2 Steenrod Algebra written by Grant Walker (Mathematician) and published by Cambridge University Press. This book was released on 2018 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.

Book Polynomials and the Mod 2 Steenrod Algebra

Download or read book Polynomials and the Mod 2 Steenrod Algebra written by Grant Walker and published by London Mathematical Society Le. This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two volumes detailing Steenrod algebra and its applications, with background material. Ideal for researchers in pure mathematics.

Book Complex Cobordism and Stable Homotopy Groups of Spheres

Download or read book Complex Cobordism and Stable Homotopy Groups of Spheres written by Douglas C. Ravenel and published by American Mathematical Soc.. This book was released on 2003-11-25 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.

Book Normal Sequences and Twisted Tensor Products  Applications to the Steenrod Algebra

Download or read book Normal Sequences and Twisted Tensor Products Applications to the Steenrod Algebra written by ARUNAS. LIULEVICIUS and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: