Stable Homotopy Over The Steenrod Algebra
Download and Read Stable Homotopy Over The Steenrod Algebra full books in PDF, ePUB, and Kindle. Read online free Stable Homotopy Over The Steenrod Algebra ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Stable Homotopy over the Steenrod Algebra
Author | : John Harold Palmieri |
Publisher | : American Mathematical Soc. |
Total Pages | : 193 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821826689 |
Download Stable Homotopy over the Steenrod Algebra Book in PDF, Epub and Kindle
This title applys the tools of stable homotopy theory to the study of modules over the mod $p$ Steenrod algebra $A DEGREES{*}$. More precisely, let $A$ be the dual of $A DEGREES{*}$; then we study the category $\mathsf{stable}(A)$ of unbounded cochain complexes of injective comodules over $A$, in which the morphisms are cochain homotopy classes of maps. This category is triangulated. Indeed, it is a stable homotopy category, so we can use Brown representability, Bousfield localization, Brown-Comenetz duality, and other homotopy-theoretic tools to study it. One focus of attention is the analogue of the stable homotopy groups of spheres, which in this setting is the cohomology of $A$, $\mathrm{Ext}_A DEGREES{**}(\mathbf{F}_p, \mathbf{F}_p)$. This title also has nilpotence theorems, periodicity theorems, a convergent chromatic tower, and a nu
Stable Homotopy over the Steenrod Algebra Related Books
Pages: 193
Pages: 511
Pages: 418
Pages: 228
Pages: 328