On Fibrations and nilpotency - some remarks upon two articles by I. M. James.
On framed links of Peiffer identities
On Homotopy Invariance of Higher Signatures.
On Rationalized H- and CO-H-Spaces. With an Appendix on Decomposable H- and CO-H-Spaces.
On the construction of the Kan loop group.
On the first homology of Peano continua
We show that the first homology group of a locally connected compact metric space is either uncountable or finitely generated. This is related to Shelah's well-known result (1988) which shows that the fundamental group of such a space satisfies a similar condition. We give an example of such a space whose fundamental group is uncountable but whose first homology is trivial, showing that our result does not follow from Shelah's. We clarify a claim made by Pawlikowski (1998) and offer a proof of the...
On the fundamental group of a mapping space. An example
On the Growth of Homotopy Groups.
On the homotopy category of Moore spaces and the cohomology of the category of abelian groups
The homotopy category of Moore spaces in degree 2 represents a nontrivial cohomology class in the cohomology of the category of abelian groups. We describe various properties of this class. We use James-Hopf invariants to obtain explicitly the image category under the functor chain complex of the loop space.
On the homotopy groups of a finite dimensional space.
On the Homotopy of Non-Nilpotent Spaces.
On the Self-Equivalences of a Space with Non-cyclic Fundamental Group.
On the Unstable Homotopy Spectral Sequences.
On Whitehead's inequality, .
Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency.
Phantom maps and purity in modular representation theory, I
Let k be a field and G a finite group. By analogy with the theory of phantom maps in topology, a map f : M → ℕ between kG-modules is said to be phantom if its restriction to every finitely generated submodule of M factors through a projective module. We investigate the relationships between the theory of phantom maps, the algebraic theory of purity, and Rickard's idempotent modules. In general, adding one to the pure global dimension of kG gives an upper bound for the number of phantoms we need...
Power domains
Propriétés topologiques de et fantômes de finitude
Pseudo-isotopies de plongements en codimension 2
Rationale Homotopietypen.