Articles liés à Computation of the Stable Homotopy Groups of Spheres

Computation of the Stable Homotopy Groups of Spheres - Couverture souple

Zhong, Linan; Zhao, Hao; Shen, Wenhuai

 
9783659591402: Computation of the Stable Homotopy Groups of Spheres
Couverture souple
ISBN 10 : 3659591408 ISBN 13 : 9783659591402
Editeur : LAP LAMBERT Academic Publishing, 2014

Synopsis

This book concerns a central problem in algebraic topology-stable homotopy groups of spheres. Ever since J. P. Serre's historic result showed that the homotopy groups of spheres are finitely generated in 1950s, the determination of homotopy groups of spheres has always been the focus of algebraic topologists. Up to now, still much has not been known to us. In our book, we consider the stable part of the homotopy groups of spheres. We will mainly apply two computation tools to detect nontrivial elements of the stable homotopy groups of spheres-Adams spectral sequence and May spectral sequence. One part of this book is dedicated to obtaining some nontrivial product elements via the Adams spectral sequence. The remaining part is dedicated to approaching one important problem raised by M. Hovey--the convergence of a certain product in the Adams spectral sequence. The importance of this problem is its being related to the existence of a large seires of secondary periodic elements of the stable homotopy groups of spheres.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book concerns a central problem in algebraic topology-stable homotopy groups of spheres. Ever since J. P. Serre's historic result showed that the homotopy groups of spheres are finitely generated in 1950s, the determination of homotopy groups of spheres has always been the focus of algebraic topologists. Up to now, still much has not been known to us. In our book, we consider the stable part of the homotopy groups of spheres. We will mainly apply two computation tools to detect nontrivial elements of the stable homotopy groups of spheres-Adams spectral sequence and May spectral sequence. One part of this book is dedicated to obtaining some nontrivial product elements via the Adams spectral sequence. The remaining part is dedicated to approaching one important problem raised by M. Hovey--the convergence of a certain product in the Adams spectral sequence. The importance of this problem is its being related to the existence of a large seires of secondary periodic elements of the stable homotopy groups of spheres.

Biographie de l'auteur

2013-current, Postdoctor, South China Normal University;2011-2013, Ph.D, Nankai Uuniversity;2004-2007, Master, Yanbian University

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2014
Langue
anglais
ISBN 10 
3659591408
ISBN 13 
9783659591402
Reliure
Broché
Nombre de pages
96
Coordonnées du fabricant
non disponible
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