Author: Michael J. Fisher
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 126
Book Description
Topics in V1-periodic Homotopy Theory
Author: Michael J. Fisher
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 126
Book Description
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 126
Book Description
Homotopy Theory and Related Topics
Author: Mamoru Mimura
Publisher: Springer
ISBN: 3540469389
Category : Mathematics
Languages : en
Pages : 246
Book Description
Publisher: Springer
ISBN: 3540469389
Category : Mathematics
Languages : en
Pages : 246
Book Description
$v_1$-Periodic Homotopy Groups of $SO(n)$
Author: Martin Bendersky
Publisher: American Mathematical Soc.
ISBN: 0821835890
Category : Mathematics
Languages : en
Pages : 106
Book Description
Computes the 2-primary $v_1$-periodic homotopy groups of the special orthogonal groups $SO(n)$; the method is to calculate the Bendersky-Thompson spectral sequence, a $K_*$-based unstable homotopy spectral sequence, of $\operatorname{Spin}(n)$.
Publisher: American Mathematical Soc.
ISBN: 0821835890
Category : Mathematics
Languages : en
Pages : 106
Book Description
Computes the 2-primary $v_1$-periodic homotopy groups of the special orthogonal groups $SO(n)$; the method is to calculate the Bendersky-Thompson spectral sequence, a $K_*$-based unstable homotopy spectral sequence, of $\operatorname{Spin}(n)$.
Homotopy Theory and Related Topics
Author: Hiroshi Toda
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 364
Book Description
The papers in this volume are divided into the following four parts: 1. Simple homotopy theory and G-actions. 2. Classifying spaces and characteristic classes. 3. Topology of manifolds. 4. Homotopy problems - unstable and stable cases.
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 364
Book Description
The papers in this volume are divided into the following four parts: 1. Simple homotopy theory and G-actions. 2. Classifying spaces and characteristic classes. 3. Topology of manifolds. 4. Homotopy problems - unstable and stable cases.
Nilpotence and Periodicity in Stable Homotopy Theory
Author: Douglas C. Ravenel
Publisher: Princeton University Press
ISBN: 9780691025728
Category : Mathematics
Languages : en
Pages : 228
Book Description
Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K-theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.
Publisher: Princeton University Press
ISBN: 9780691025728
Category : Mathematics
Languages : en
Pages : 228
Book Description
Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K-theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.
Introduction to Homotopy Theory
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.
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.
Homotopy Theory of Function Spaces and Related Topics
Author: Yves FĂ©lix
Publisher: American Mathematical Soc.
ISBN: 0821849298
Category : Mathematics
Languages : en
Pages : 246
Book Description
This volume contains the proceedings of the Workshop on Homotopy Theory of Function Spaces and Related Topics, which was held at the Mathematisches Forschungsinstitut Oberwolfach, in Germany, from April 5-11, 2009. This volume contains fourteen original research articles covering a broad range of topics that include: localization and rational homotopy theory, evaluation subgroups, free loop spaces, Whitehead products, spaces of algebraic maps, gauge groups, loop groups, operads, and string topology. In addition to reporting on various topics in the area, this volume is supposed to facilitate the exchange of ideas within Homotopy Theory of Function Spaces, and promote cross-fertilization between Homotopy Theory of Function Spaces and other areas. With these latter aims in mind, this volume includes a survey article which, with its extensive bibliography, should help bring researchers and graduate students up to speed on activity in this field as well as a problems list, which is an expanded and edited version of problems discussed in sessions held at the conference. The problems list is intended to suggest directions for future work.
Publisher: American Mathematical Soc.
ISBN: 0821849298
Category : Mathematics
Languages : en
Pages : 246
Book Description
This volume contains the proceedings of the Workshop on Homotopy Theory of Function Spaces and Related Topics, which was held at the Mathematisches Forschungsinstitut Oberwolfach, in Germany, from April 5-11, 2009. This volume contains fourteen original research articles covering a broad range of topics that include: localization and rational homotopy theory, evaluation subgroups, free loop spaces, Whitehead products, spaces of algebraic maps, gauge groups, loop groups, operads, and string topology. In addition to reporting on various topics in the area, this volume is supposed to facilitate the exchange of ideas within Homotopy Theory of Function Spaces, and promote cross-fertilization between Homotopy Theory of Function Spaces and other areas. With these latter aims in mind, this volume includes a survey article which, with its extensive bibliography, should help bring researchers and graduate students up to speed on activity in this field as well as a problems list, which is an expanded and edited version of problems discussed in sessions held at the conference. The problems list is intended to suggest directions for future work.
Homotopy Theory and Related Topics
Author: Mamoru Mimura
Publisher:
ISBN: 9783662214541
Category :
Languages : en
Pages : 260
Book Description
Publisher:
ISBN: 9783662214541
Category :
Languages : en
Pages : 260
Book Description
Primary Homotopy Theory
Author: Joseph Neisendorfer
Publisher: American Mathematical Soc.
ISBN: 0821822322
Category : Mathematics
Languages : en
Pages : 73
Book Description
The author gives a systematic exposition of homotopy groups with coefficients in a cyclic group [italic]Z or [italic]Z[subscript italic]k. The text pays particular attention to low-dimensional cases and trouble with the small primes. The book gives a complete treatment of some topics--such as Samelson products--with a view toward applications.
Publisher: American Mathematical Soc.
ISBN: 0821822322
Category : Mathematics
Languages : en
Pages : 73
Book Description
The author gives a systematic exposition of homotopy groups with coefficients in a cyclic group [italic]Z or [italic]Z[subscript italic]k. The text pays particular attention to low-dimensional cases and trouble with the small primes. The book gives a complete treatment of some topics--such as Samelson products--with a view toward applications.
On Certain Topics in Homotopy Theory
Author: Charles S. Rose
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 160
Book Description
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 160
Book Description