algebraic topology – application of higher algebra and higher category theory to the study of (stable) homotopy theory
This page collects material and links related to
The Handbook of Algebraic Topology
1995
collecting survey articles on subjects in algebraic topology
Foreword.
List of Contributors.
Homotopy Types (H.-J. Baues).
Homotopy theories and model categories (W.G. Dwyer, J. Spalinski).
Proper Homotopy Theory (T. Porter).
Introduction to fibrewise homotopy theory (I.M. James).
Coherent homotopy over a fixed space (K.A. Hardie, K.H. Kamps).
Modern foundations for stable homotopy theory (A.D. Elmendorf et al.
Completions in algebra and topology (J.P.C. Greenlees, J.P. May).
Equivariant stable homotopy theory (J.P.C. Greenlees, J.P. May).
The stable homotopy theory of finite complexes (D.C. Ravenel).
The EHP sequence and periodic homotopy (M. Mahowald, R.D. Thompson).
Introduction to nonconnective $Im(J)$-theory (M.C. Crabb, K. Knapp).
Applications of nonconnective $Im(J)$-theory (K. Knapp).
Stable homotopy and iterated loop spaces (G. Carlsson, R.J. Milgram).
Stable operations in generalized cohomology (J.M. Boardman).
Unstable operations in generalized cohomology (J.M. Boardman et al.).
Differential graded algebras in topology (Y. Felix et al.).
Real and rational homotopy theory (E.H. Brown, Jr., R.H. Szczarba).
Cohomology of groups (D.J. Benson, P.H. Kropholler).
Homotopy theory of Lie groups (M. Mimura).
Computing $v_1$-periodic homotopy groups of spheres and some compact Lie groups (D.M. Davis).
Classifying spaces of compact Lie groups and finite loop spaces (D. Notbohm).
H-spaces with finiteness conditions (J.P. Lin).
Co-H-spaces (M. Arkowitz).
Fibration and product decompositions in nonstable homotopy theory (F.R. Cohen).
Phantom maps (C.A. McGibbon).
Wall’s finiteness obstruction (G. Mislin).
Lusternik-Schnirelmann category (I.M. James).
Last revised on March 8, 2016 at 13:49:18. See the history of this page for a list of all contributions to it.