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…
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…
This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate di…
Cover; Half title; Series; Title; Copyright; Dedication; Epigraph; Contents; Preface; Prerequisites; Notational Conventions; Acknowledgments; Part I Derived functors and homotopy (co)limits; 1 All concepts are Kan extensions; 1.1 Kan extensions; 1.2 A formula; 1.3 Pointwise Kan …
This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.
