This book is a compilation of lecture notes that were prepared for the graduate course "Adams Spectral Sequences and Stable Homotopy Theory" given at The Fields Institute during the fall of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebr…
The semi-stable homotopy groups of a topological space [italic]X are the unstable homotopy groups [lowercase Greek]Pi [subscript]*[capital Greek]Sigma[superscript]n[italic]X, [italic]n [greater than symbol] 0, of the suspensions of [italic]X. This monograph is concerned with com…
This paper is the first of three which will investigate the ring of cobordism classes of closed smooth manifolds with a symplectic structure on their stable normal bundle. The method of computation is the Adams spectral sequence. In this paper, [italic]E₂ us computed as an algeb…
Addresses issues with odd primary infinite families in stable homotopy theory.
For each prime [italic]p there is a 'lambda algebra' which serves, among other things, as an [italic]E₁ term for the (stable or unstable) Adams spectral sequence. This paper describes algorithms and programs for computing the homology of these algebras using a mainframe computer…