Displaying similar documents to “Three two-dimensional Weyl steps in the circle problem I. The Hessian determinant”

Towers of measurable functions

James Hirschorn (2000)

Fundamenta Mathematicae

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We formulate variants of the cardinals f, p and t in terms of families of measurable functions, in order to examine the effect upon these cardinals of adding one random real.

Stratifications of teardrops

Bruce Hughes (1999)

Fundamenta Mathematicae

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Teardrops are generalizations of open mapping cylinders. We prove that the teardrop of a stratified approximate fibration X → Y × ℝ with X and Y homotopically stratified spaces is itself a homotopically stratified space (under mild hypothesis). This is applied to manifold stratified approximate fibrations between manifold stratified spaces in order to establish the realization part of a previously announced tubular neighborhood theory.