On the topology of double coset manifolds.
On the triangulation of smooth fibre bundles
On the uniform perfectness of groups of bundle homeomorphisms
Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect.
On two results about fibrations.
Open subgroups of free topological groups
The theory of covering spaces is often used to prove the Nielsen-Schreier theorem, which states that every subgroup of a free group is free. We apply the more general theory of semicovering spaces to obtain analogous subgroup theorems for topological groups: Every open subgroup of a free Graev topological group is a free Graev topological group. An open subgroup of a free Markov topological group is a free Markov topological group if and only if it is disconnected.
Open subsets of fibrations
Operády v současné matematice
Opérations d'Adams en K-homologie et applications
Orbit projections as fibrations
The orbit projection of a proper -manifold is a fibration if and only if all points in are regular. Under additional assumptions we show that is a quasifibration if and only if all points are regular. We get a full answer in the equivariant category: is a -quasifibration if and only if all points are regular.
Orbit projections of proper Lie groupoids as fibrations
Let be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection is a fibration if and only if is regular.
Orbit spaces, Quillen's Theorem A and Minami's formula for compact Lie groups
Let G be a compact Lie group. We present a criterion for the orbit spaces of two G-spaces to be homotopy equivalent and use it to obtain a quick proof of Webb’s conjecture for compact Lie groups. We establish two Minami type formulae which present the p-localised spectrum as an alternating sum of p-localised spectra for subgroups H of G. The subgroups H are calculated from the collections of the non-trivial elementary abelian p-subgroups of G and the non-trivial p-radical subgroups of G. We...
Orientability of total spaces of fibre bundles over
Parallelizability of Finite H-Spaces.
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.
Periodic equivariant Real k-theories have rational Tate theory.
Periodische Homöomorhismen Seifertscher Faserräume.
p-Nilpotence, classifying space indecomposability, and other properties of almost all finite groups.
Poincaré Spaces, Their Normal Fibrations and Surgery.