This paper quantifies the speed of convergence and higher-order asymptotics of fast diffusion dynamics on R [superscript]n to the Barenblatt (self similar) solution. Degeneracies in the parabolicity of this equation are cured by re-expressing the dynamics on a manifold with a cy…
A number of results are established concerning the approximation of maps between topological manifolds by homeomorphisms, approximate fibrations, and block bundles. Applications are given to the approximation of approximate fibrations by block bundles, and to the taming of local…
We analyze fibrations over paracompact Hausdorff bases with locally compact ANR fibers and show that a fibred analog of the first author's characterization of Hilbert cube manifolds detects the Hilbert cube manifold bundles if the fibers are compact or the base is semi-locally c…
The category of H-modules over a ring spectrum is introduced. We prove that mapping cones can be constructed in the category and that these mapping cones are unique up to equivalence. Other H-modules are constructed by induction and a limit process. We prove that each of the cla…
"Given a -dimensional lamination endowed with a Riemannian metric, we introduce the notion of a multiplicative cocycle of rank where and are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of …
"Given a -dimensional lamination endowed with a Riemannian metric, we introduce the notion of a multiplicative cocycle of rank where and are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of …
The purpose of this paper is to show how Volterra integral equations may be studied within the framework of the theory of topological dynamics. Part I contains the basic theory, as local dynamical systems are discussed together with some of their elementary properties. The notat…
Topological invariants of quasi-ordinary singularities: This paper deals with topological invariants of quasi-ordinary singularities on hypersurfaces. Embedded topological classification of quasi-ordinary singularities: The author generalizes the known embedded topological clas…
