On fibrations with the Grassmann manifold of two-planes as fiber.
On finite subgroups of groups of type VF.
On forms and connections on fibre bundles
On fuzzy subbundles of vector bundles.
On generalized homology of Artin groups.
On graded algebra bundles.
On graded bundles and their geometry
On group homomorphisms including mod-p cohomology isomorphisms.
On higher order point singularities of some geometric object fields
On homotopically regular mappings of manifolds
On H-spaces over a base space.
On infinite induced crossed modules and the homotopy 2-type of mapping cones.
On inverse limits of (2k+m+1)-disk bundle maps
On isomorphisms between fibrations over associated with a action
On Lusternik-Schnirelmann category of SO(10)
Let G be a compact connected Lie group and p: E → ΣA be a principal G-bundle with a characteristic map α: A → G, where A = ΣA₀ for some A₀. Let with F₀ = ∗, F₁ = ΣK₁ and Fₘ ≃ G be a cone-decomposition of G of length m and F’₁ = ΣK’₁ ⊂ F₁ with K’₁ ⊂ K₁ which satisfy up to homotopy for all i. Then cat(E) ≤ m + 1, under suitable conditions, which is used to determine cat(SO(10)). A similar result was obtained by Kono and the first author (2007) to determine cat(Spin(9)), but that result could not...
On manifolds homotopy equivalent to the total spaces of -bundles over
We calculate the structure sets in the sense of surgery theory of total spaces of bundles over eight-dimensional sphere with fibre a seven-dimensional sphere, in which manifolds homotopy equivalent to the total spaces are organized, and we investigate the question, which of the elements in these structure sets can be realized as such bundles.
On oriented vector bundles over CW-complexes of dimension 6 and 7
Necessary and sufficient conditions for the existence of -dimensional oriented vector bundles () over CW-complexes of dimension with prescribed Stiefel-Whitney classes , and Pontrjagin class are found. As a consequence some results on the span of 6 and 7-dimensional oriented vector bundles are given in terms of characteristic classes.
On Poincaré 3-Complexes with Binary Polyhedral Fundamental Group.
On polynomial coverings and their classification.
On properties of approximate fibrations. I.