Bordism and Geometric Dimension.
Bordism with codimension-one singularities
Bordismentheorie stabil gerahmter G-Mannigfaltigkeiten.
Borel fibrations and G-spaces.
Borsuk's quasi-equivalence is not transitive
Borsuk's quasi-equivalence relation on the class of all compacta is considered. The open problem concerning transitivity of this relation is solved in the negative. Namely, three continua X, Y and Z lying in ℝ³ are constructed such that X is quasi-equivalent to Y and Y is quasi-equivalent to Z, while X is not quasi-equivalent to Z.
Borsuk's Theory of Shape and Cech Homotopy.
Borsuk-Sieklucki theorem in cohomological dimension theory
The Borsuk-Sieklucki theorem says that for every uncountable family of n-dimensional closed subsets of an n-dimensional ANR-compactum, there exist α ≠ β such that . In this paper we show a cohomological version of that theorem: Theorem. Suppose a compactum X is , where n ≥ 1, and G is an Abelian group. Let be an uncountable family of closed subsets of X. If for all α ∈ J, then for some α ≠ β. For G being a countable principal ideal domain the above result was proved by Choi and Kozlowski...
Borsuk-Ulam Sätze und Abbildungen mit kompakten Iterierten [Book]
Bounded cohomology of lattices in higher rank Lie groups
We prove that the natural map from bounded to usual cohomology is injective if is an irreducible cocompact lattice in a higher rank Lie group. This result holds also for nontrivial unitary coefficients, and implies finiteness results for : the stable commutator length vanishes and any –action on the circle is almost trivial. We introduce the continuous bounded cohomology of a locally compact group and prove our statements by relating to the continuous bounded cohomology of the ambient group...
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.
Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface
Bourgin–Yang-type theorem for -compact perturbations of closed operators. I: The case of index theories with dimension property.
BP Operations and Morava's Extraordinary K-Theories.
Braid Orientations and Bundles with Flat Connections.
Brouwer degree, equivariant maps and tensor powers.
Brown–Peterson cohomology and Morava K-theory of DI(4) and its classifying space
DI(4) is the only known example of an exotic 2-compact group, and is conjectured to be the only one. In this work, we study generalized cohomology theories for DI(4) and its classifying space. Specifically, we compute the Morava K-theories, and the P(n)-cohomology of DI(4). We use the non-commutativity of the spectrum P(n) at p=2 to prove the non-homotopy nilpotency of DI(4). Concerning the classifying space, we prove that the BP-cohomology and the Morava K-theories of BDI(4) are all concentrated...
Brown-Peterson spectra in stable -homotopy theory
Brown's representability theorem and branched coverings.
BSJ does not map correctly into BSF Mod 2.
Bundles, cohomology and truncated symmetric polynomials.