On Fibrations and nilpotency - some remarks upon two articles by I. M. James.
On fine shape theory
On fine shape theory II
On Fox's theory of overlays
On fundamental deformation retracts and on some related notions
On -disconnected injective models
Let be a finite group. It was observed by L.S. Scull that the original definition of the equivariant minimality in the -connected case is incorrect because of an error concerning algebraic properties. In the -disconnected case the orbit category was originally replaced by the category with one object for each component of each fixed point simplicial subsets of a -simplicial set , for all subgroups . We redefine the equivariant minimality and redevelop some results on the rational homotopy...
On genera of polyhedra
We consider the stable homotopy category S of polyhedra (finite cell complexes). We say that two polyhedra X,Y are in the same genus and write X ∼ Y if X p ≅ Y p for all prime p, where X p denotes the image of Xin the localized category S p. We prove that it is equivalent to the stable isomorphism X∨B 0 ≅Y∨B 0, where B 0 is the wedge of all spheres S n such that π nS(X) is infinite. We also prove that a stable isomorphism X ∨ X ≅ Y ∨ X implies a stable isomorphism X ≅ Y.
On generalizations of Borsuk's homotopy extension theorem
On generalized homology of Artin groups.
On genus and embeddings of torsion-free nilpotent groups of class two.
On Hochschild and cyclic homology of certain homogeneous spaces
On homotopical equivalence of tolerance spaces
On Homotopy Invariance of Higher Signatures.
On homotopy types of 2-dimensional polyhedra
On H-spaces over a base space.
On internal movability; internal shape and internal MANR-spaces
On localizations of torsion abelian groups
As is well known, torsion abelian groups are not preserved by localization functors. However, Libman proved that the cardinality of LT is bounded by whenever T is torsion abelian and L is a localization functor. In this paper we study localizations of torsion abelian groups and investigate new examples. In particular we prove that the structure of LT is determined by the structure of the localization of the primary components of T in many cases. Furthermore, we completely characterize the relationship...
On manifolds with finitely generated homotopy groups.
On minimal models in integral homotopy theory.
On Neeman's well generated triangulated categories.