On the Steenrod operations in cyclic cohomology.
On the uniqueness problem of bivariant Chern classes.
On the Whitehead Theorem in shape theory
On total homology
On universality of countable and weak products of sigma hereditarily disconnected spaces
Suppose a metrizable separable space Y is sigma hereditarily disconnected, i.e., it is a countable union of hereditarily disconnected subspaces. We prove that the countable power of any subspace X ⊂ Y is not universal for the class ₂ of absolute -sets; moreover, if Y is an absolute -set, then contains no closed topological copy of the Nagata space = W(I,ℙ); if Y is an absolute -set, then contains no closed copy of the Smirnov space σ = W(I,0). On the other hand, the countable power of...
On -rings and topological realization.
Operations and cooperations in elliptic cohomology. I: Generalized modular forms and the cooperation algebra.
Operations and co-operations in Morava -theory.
Operations and quantum doubles in complex oriented cohomology theory.
Opérations d'Adams en K-homologie et applications
Orbit spaces, Quillen's Theorem A and Minami's formula for compact Lie groups
Let G be a compact Lie group. We present a criterion for the orbit spaces of two G-spaces to be homotopy equivalent and use it to obtain a quick proof of Webb’s conjecture for compact Lie groups. We establish two Minami type formulae which present the p-localised spectrum as an alternating sum of p-localised spectra for subgroups H of G. The subgroups H are calculated from the collections of the non-trivial elementary abelian p-subgroups of G and the non-trivial p-radical subgroups of G. We...
Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency.
Oriented singular homology.
Painlevé equations and complex reflections
We will explain how some new algebraic solutions of the sixth Painlevé equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-- Mazzocco for real reflection groups. The problem of finding explicit formulae for these solutions will be addressed elsewhere.
Parallelizability of Homogeneous Spaces. I.
Parity complexes
Parity complexes : corrigenda
Parity sheaves, moment graphs and the -smooth locus of Schubert varieties
We show that the Braden-MacPherson algorithm computes the stalks of parity sheaves. As a consequence we deduce that the Braden-MacPherson algorithm may be used to calculate the characters of tilting modules for algebraic groups and show that the -smooth locus of a (Kac-Moody) Schubert variety coincides with the rationally smooth locus, if the underlying Bruhat graph satisfies a GKM-condition.
Periodic equivariant Real k-theories have rational Tate theory.
Periodic maps on Poincaré duality spaces.