An effective criterion for the existence of a mass partition
An example of a fiber in fibrations whose Serre spectral sequences collapse
We give an example of a space with the property that every orientable fibration with the fiber is rationally totally non-cohomologous to zero, while there exists a nontrivial derivation of the rational cohomology of of negative degree.
An introduction to shape theory for the nonspecialist
An Obstruction to the Existence of Affine Structures.
Anelli di coomologia dei gruppi di Artin
ANR's and NES's in the category of mappings on metric spaces
Applications of perturbation theory to iterated fibrations.
Applications of the Evaluation Map and Transfer Map Theorems.
Approximate polyhedra, resolutions of maps and shape fibrations
Approximating homotopy equivalences of surfaces by homeomorphisms
Approximation theorems and Nash conjecture
Arithmetic groups of gauge transformations.
Arithmeticity of Groups of Fibre Homotopy Equivalence Classes.
Augmented Γ-spaces, the stable rank filtration, and a bu analogue of the Whitehead conjecture
We explore connections between our previous paper [J. Reine Angew. Math. 604 (2007)], where we constructed spectra that interpolate between bu and Hℤ, and earlier work of Kuhn and Priddy on the Whitehead conjecture and of Rognes on the stable rank filtration in algebraic K-theory. We construct a "chain complex of spectra" that is a bu analogue of an auxiliary complex used by Kuhn-Priddy; we conjecture that this chain complex is "exact"; and we give some supporting evidence. We tie this to work of...
BGG resolutions via configuration spaces
We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.
Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts.
Bihomogeneity of solenoids.
Bordism with codimension-one singularities
Borel fibrations and G-spaces.
Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds
We estimate the characteristic rank of the canonical –plane bundle over the oriented Grassmann manifold . We then use it to compute uniform upper bounds for the –cup-length of for belonging to certain intervals.