Principal fibre bundles with structural Lie groupoid.
Problem session.
Problèmes d'existence et d'homotopie dans les feuilletages
Product and other fine structure in polynomial resolutions of mapping spaces.
Product splittings for p-compact groups
We show that a connected p-compact group with a trivial center is equivalent to a product of simple p-compact groups. More generally, we show that product splittings of any connected p-compact group correspond bijectively to algebraic splittings of the fundamental group of the maximal torus as a module over the Weyl group. These are analogues for p-compact groups of well-known theorems about compact Lie groups.
Product structures in pyramids of higher order cohomology operations.
Product type inequalities for the geometric category.
Products between homotopy groups
Profinite homotopy theory.
Profinite spaces and problems of realizability. (Espaces profinis et problèmes de réalisabilité.)
Profondeur homotopique et conjecture de grothendieck
Pro-isomorphisms of homology towers.
Projective and Hilbert modules over group algebras, and finitely dominated spaces.
Projective k-invariants
Prolongation of natural bundles
Prolongation of vector fields to jet bundles
[For the entire collection see Zbl 0699.00032.] In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M.
Proper CW-complexes: A category for the study of proper homotopy.
Proper homotopies in -manifolds
Proper shape retracts
Properties of a hypothetical exotic complex structure on
We consider almost-complex structures on whose total Chern classes differ from that of the standard (integrable) almost-complex structure. E. Thomas established the existence of many such structures. We show that if there exists an “exotic” integrable almost-complex structures, then the resulting complex manifold would have specific Hodge numbers which do not vanish. We also give a necessary condition for the nondegeneration of the Frölicher spectral sequence at the second level.