Geometrie Classification of Simplicial Structures on Topologieal Manifolds.
Growth of a primitive of a differential form
For an exact differential form on a Riemannian manifold to have a primitive bounded by a given function , by Stokes it has to satisfy some weighted isoperimetric inequality. We show the converse up to some constants if has bounded geometry. For a volume form, it suffices to have the inequality ( for every compact domain ). This implies in particular the “well-known” result that if is the universal covering of a compact Riemannian manifold with non-amenable fundamental group, then the volume...
Local density of diffeomorphisms with large centralizers
Given any compact manifold , we construct a non-empty open subset of the space of -diffeomorphisms and a dense subset such that the centralizer of every diffeomorphism in is uncountable, hence non-trivial.
On the triangulation of smooth fibre bundles
Simplicial maps from the 3-sphere to the 2-sphere.
Smooth Equivariant Triangulations of G-Manifolds for G a Finite Group.
Topological types of fewnomials
Triangulation of Stratified Fibre Bundles.
Triangulation of Subanalytic Sets and Proper Light Subanaly-tic Maps
О концепном комплексе топологических пространств
О теореме Уолфа для дифференциальных форм классов