The Algebra of Secondary Cohomology Operations [electronic resource] /by Hans-Joachim Baues.
by Baues, Hans-Joachim [author.]; SpringerLink (Online service).
Material type:
BookSeries: Progress in Mathematics: 247Publisher: Basel : Birkhäuser Basel, 2006.Description: XXXII, 483 p. online resource.ISBN: 9783764374495.Subject(s): Mathematics | Algebraic topology | Mathematics | Algebraic TopologyDDC classification: 514.2 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA612-612.8 (Browse shelf) | Available |
Browsing MAIN LIBRARY Shelves Close shelf browser
| QR180-189.5 Toll-like Receptors in Inflammation | QR180-189.5 Lymphocyte Trafficking in Health and Disease | QA174-183 Infinite Groups: Geometric, Combinatorial and Dynamical Aspects | QA612-612.8 The Algebra of Secondary Cohomology Operations | QA370-380 Hyperbolic Problems and Regularity Questions | QA329-329.9 Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems | QA299.6-433 Analysis II |
Secondary Cohomology and Track Calculus -- Primary Cohomology Operations -- Track Theories and Secondary Cohomology Operations -- Calculus of Tracks -- Stable Linearity Tracks -- The Algebra of Secondary Cohomology Operations -- Products and Power Maps in Secondary Cohomology -- The Algebra Structure of Secondary Cohomology -- The Borel Construction and Comparison Maps -- Power Maps and Power Tracks -- Secondary Relations for Power Maps -- Künneth Tracks and Künneth-Steenrod Operations -- The Algebra of ?-tracks -- Secondary Hopf Algebras -- The Action of ? on Secondary Cohomology -- Interchange and the Left Action -- The Uniqueness of the Secondary Hopf Algebra ? -- Computation of the Secondary Hopf Algebra ?.
The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. The book solves a long-standing problem on the algebra of secondary cohomology operations by developing a new algebraic theory of such operations. The results have strong impact on the Adams spectral sequence and hence on the computation of homotopy groups of spheres.
There are no comments for this item.