A course in some aspects of classical homotopy theory -- Homotopy and homology of diagrams of spaces -- The kervaire invariant and the Hopf invariant -- Stable splittings of mapping spaces -- The splitting of ?2 S 2n+1 -- A model for the free loop space of a suspension -- Calculations of unstable Adams E2 terms for spheres -- The bo-adams spectral sequence: Some calculations and a proof of its vanishing line -- The rigidity of L(n) -- Thom complexes and the spectra bo and bu -- A commentary on the “Image of J in the EHP sequence” -- On the ?-algebra and the homology of symmetric groups.

During the Winter and spring of 1985 a Workshop in Algebraic Topology was held at the University of Washington. The course notes by Emmanuel Dror Farjoun and by Frederick R. Cohen contained in this volume are carefully written graduate level expositions of certain aspects of equivariant homotopy theory and classical homotopy theory, respectively. M.E. Mahowald has included some of the material from his further papers, represent a wide range of contemporary homotopy theory: the Kervaire invariant, stable splitting theorems, computer calculation of unstable homotopy groups, and studies of L(n), Im J, and the symmetric groups.