Configuration spaces and Vassiliev classes in any dimension.
Configuration-Spaces and Iterated Loop-Spaces.
Conjugacy classes of finite solvable subgroups in Lie groups
Conjugacy classes of groups of bundle automorphisms.
Connected covers and Neisendorfer's localization theorem
Our point of departure is J. Neisendorfer's localization theorem which reveals a subtle connection between some simply connected finite complexes and their connected covers. We show that even though the connected covers do not forget that they came from a finite complex their homotopy-theoretic properties are drastically different from those of finite complexes. For instance, connected covers of finite complexes may have uncountable genus or nontrivial SNT sets, their Lusternik-Schnirelmann category...
Connections and 1-jet fiber bundles
Connections in associated fibre bundles
Connections on 1-jets principal fiber bundles
Connections on higher order tangent bundles
Connections on infinite dimensional manifolds with corners
Construction d’éléments dans
Construction of 2-local finite groups of a type studied by Solomon and Benson.
Continous Wavelet Transforms with Applications to Analyzing Functions on Spheres.
Continuity of projections of natural bundles
This paper is a contribution to the axiomatic approach to geometric objects. A collection of a manifold M, a topological space N, a group homomorphism E: Diff(M) → Homeo(N) and a function π: N → M is called a quasi-natural bundle if (1) π ∘ E(f) = f ∘ π for every f ∈ Diff(M) and (2) if f,g ∈ Diff(M) are two diffeomorphisms such that f|U = g|U for some open subset U of M, then E(f)|π^{-1}(U) = E(g)|π^{-1}(U). We give conditions which ensure that π: N → M is continuous. In particular, if (M,N,E,π)...
Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group
We prove that Alexander-Spanier cohomology with coefficients in a topologicalAbelian group G is isomorphic to the group of isomorphism classes of principal bundles with certain Abelian structure groups. The result holds if either X is a CW-space and G arbitrary or if X is metrizable or compact Hausdorff and G an ANR.
Converting compact and fibrations into locally trivial bundles with compact manifolds as fibres
Conway's Group CO3 and the Dickson Invariants.
Corollaries of the A-H-V formula.
Correction for the paper “-bundles and exotic actions”
In [R] explicit representatives for -principal bundles over are constructed, based on these constructions explicit free -actions on the total spaces are described, with quotients exotic -spheres. To describe these actions a classification formula for the bundles is used. This formula is not correct. In Theorem 1 below, we correct the classification formula and in Theorem 2 we exhibit the correct indices of the exotic -spheres that occur as quotients of the free -actions described above.
Correction to the paper “Compact fiberings of homogeneous spaces. I”