Mod 2 exterior H-spaces.
Mod p Decompositions of co-H-Spaces and Applications.
On certain homotopy actions of general linear groups on iterated products
The -fold product of an arbitrary space usually supports only the obvious permutation action of the symmetric group . However, if is a -complete, homotopy associative, homotopy commutative -space one can define a homotopy action of on . In various cases, e.g. if multiplication by is null homotopic then we get a homotopy action of for some . After one suspension this allows one to split using idempotents of which can be lifted to . In fact all of this is possible if is an -space...
On co-H-spaces.
On H-spaces over a base space.
On Pierce-like idempotents and Hopf invariants.
On Rational co-Hopf G-Spaces.
On Rationalized H- and CO-H-Spaces. With an Appendix on Decomposable H- and CO-H-Spaces.
On shape
On the Classification Problem for H-Spaces of Rank Two.
On the cohomology of mod p homotopy commutative H-spaces.
On the Construction of New Finite CW H-Spaces.
On the division by the circle
On the existence and classification of Co-H-structures.
On the genus of finite CW-H-spaces
On the Homology of Non-Connected Monoids and Their Associated Groups
On the Mod p Torus Theorem of John Hubbuck.
On Whitehead's inequality, .
Parallelizability of Finite H-Spaces.
Postnikov invariants of H-spaces
It is known that the order of all Postnikov k-invariants of an H-space of finite type is finite. This paper establishes the finiteness of the order of the k-invariants of X in dimensions m ≤ 2n if X is an (n-1)-connected H-space which is not necessarily of finite type (n ≥ 1). Similar results hold more generally for higher k-invariants if X is an iterated loop space. Moreover, we provide in all cases explicit universal upper bounds for the order of the k-invariants of X.