Equivariant Gottlieb groups
Equivariant orientation theory.
Equivariant shape
Equivariant stable homotopy and Sullivan's conjecture.
Equivariant weak -equivalences.
Fixed points and homotopy fixed points.
G-ANR's with homotopy trivial fixed point sets
Let G be a compact group and X a G-ANR. Then X is a G-AR iff the H-fixed point set is homotopy trivial for each closed subgroup H ⊂ G.
Homotopy decompositions of orbit spaces and the Webb conjecture
Let p be a prime number. We prove that if G is a compact Lie group with a non-trivial p-subgroup, then the orbit space of the classifying space of the category associated to the G-poset of all non-trivial elementary abelian p-subgroups of G is contractible. This gives, for every G-CW-complex X each of whose isotropy groups contains a non-trivial p-subgroup, a decomposition of X/G as a homotopy colimit of the functor defined over the poset , where sd is the barycentric subdivision. We also...
Homotopy Linear Involutions on Spheres in the Unstable Range.
Injective models of -disconnected simplicial sets
We generalize the results by G.V. Triantafillou and B. Fine on -disconnected simplicial sets. An existence of an injective minimal model for a complete -algebra is presented, for any -category . We then make use of the -category associated with a -simplicial set to apply these results to the category of -simplicial sets.Finally, we describe the rational homotopy type of a nilpotent -simplicial set by means of its injective minimal model.
La conjecture de Segal
Localization, Completion and detecting equivariant maps on Skeletons.
Mod p Retracts of G-Products Spaces.
On bijectivity of the canonical transformation
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 Rational co-Hopf G-Spaces.
On real-oriented Johnson-Wilson cohomology.
On the derivative of the stable homotopy of mapping spaces.
On the object-wise tensor product of functors to modules.
Partition complexes, duality and integral tree representations.