Parallelizability of Finite H-Spaces.
Parallelizability of Homogeneous Spaces. I.
Parallelizability of Homogeneous Spaces, II.
Parallelizability of Homogeneous Spaces, II (Erratum).
Parallelizability of Proper Actions, Global K-slices and Maximal Compact Subgroups.
Parametrized Borsuk-Ulam problem for projective space bundles
Let π: E → B be a fiber bundle with fiber having the mod 2 cohomology algebra of a real or a complex projective space and let π’: E’ → B be a vector bundle such that ℤ₂ acts fiber preserving and freely on E and E’-0, where 0 stands for the zero section of the bundle π’: E’ → B. For a fiber preserving ℤ₂-equivariant map f: E → E’, we estimate the cohomological dimension of the zero set . As an application, we also estimate the cohomological dimension of the ℤ₂-coincidence set of a fiber preserving...
Parametrized Borsuk-Ulam theorems.
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.
Partial homotopy type of finite two-complexes.
Partially dissipative periodic processes
Further extension of the Levinson transformation theory is performed for partially dissipative periodic processes via the fixed point index. Thus, for example, the periodic problem for differential inclusions can be treated by means of the multivalued Poincaré translation operator. In a certain case, the well-known Ważewski principle can also be generalized in this way, because no transversality is required on the boundary.
Partition complexes, duality and integral tree representations.
Partitions of unity in homotopy theory
Periodic equivariant Real k-theories have rational Tate theory.
Periodic homeomorphisms on and cubes with torus knotted holes
Periodic maps on Poincaré duality spaces.
Periodic orbits indices
Periodic points of symmetric product mappings
Periodic problems for ODEs via multivalued Poincaré operators
We shall consider periodic problems for ordinary differential equations of the form where satisfies suitable assumptions. To study the above problem we shall follow an approach based on the topological degree theory. Roughly speaking, if on some ball of , the topological degree of, associated to (), multivalued Poincaré operator turns out to be different from zero, then problem () has solutions. Next by using the multivalued version of the classical Liapunov-Krasnoselskǐ guiding potential...