A Relation Between Equivariant and Non-equivariant Stable Cohomotopy.
Cohomotopy groups and shape in the sense of Fox
Coincidence index for fiber-preserving maps an approach to stable cohomotopy.
Collared cospans, cohomotopy and TQFT. (Cospans in algebraic topology. II).
Dolbeault homotopy theory and compact nilmanifolds
In this paper we study the degeneration of both the cohomology and the cohomotopy Frölicher spectral sequences in a special class of complex manifolds, namely the class of compact nilmanifolds endowed with a nilpotent complex structure. Whereas the cohomotopy spectral sequence is always degenerate for such a manifold, there exist many nilpotent complex structures on compact nilmanifolds for which the classical Frölicher spectral sequence does not collapse even at the second term.
Equivariant stable homotopy and Sullivan's conjecture.
Framing Sphere Bundles over Spheres, the Smith Pairing, and Three-Fold Toda Brackets.
Group Extensions and Principal Fibrations.
La conjecture de Segal
Mapping arcwise connected continua onto cyclic continua
Mappings Into Loop Spaces and Central Group Extensions.
n-шейпы и n-когомотопические группы компактов
On cohomotopy-type functors.
On some properties of cohomotopy-type functors.
On the Burnside ring and stable cohomotopy of a finite group.
On the Segal conjecture for compact Lie groups.
Realization of homotopy classes by algebraic mappings.
Remarks on deformability
Stable cohomotopy groups of compact spaces
We show that one can reduce the study of global (in particular cohomological) properties of a compact Hausdorff space X to the study of its stable cohomotopy groups . Any cohomology functor on the homotopy category of compact spaces factorizes via the stable shape category ShStab. This is the main reason why the language and technique of stable shape theory can be used to describe and analyze the global structure of compact spaces. For a given Hausdorff compact space X, there exists a metric compact...
The Fixed Point Index of Fibre-Preserving Maps.