Table of Contents

Chain functors and homology theories.- A generalization of the whitehead theorem.- Some problems on numerical homotopy invariants.- Unstable divisibility of the chern character.- Sphere bundles over spheres and non-cancellation phenomena.- On the algebra BP* (BP).- Surgery, BPL, BTOP and the PL bordism rings.- The genus of an H — space.- Bockstein spectral sequences, modified bockstein spectral sequences, and hopf algebras over certain frobenius rings.- Nearly frobenius algebras and their module categories.- Loop structures on the homotopy type of S3.- Sphere bundles over spheres as H-spaces mod p>2.