Page 1

Displaying 1 – 7 of 7

Showing per page

Smoothness and geometry of boundaries associated to skeletal structures I: sufficient conditions for smoothness

James Damon (2003)

Annales de l’institut Fourier

We introduce a skeletal structure ( M , U ) in n + 1 , which is an n - dimensional Whitney stratified set M on which is defined a multivalued “radial vector field” U . This is an extension of notion of the Blum medial axis of a region in n + 1 with generic smooth boundary. For such a skeletal structure there is defined an “associated boundary” . We introduce geometric invariants of the radial vector field U on M and a “radial flow” from M to . Together these allow us to provide sufficient numerical conditions for...

Stratification theory from the Newton polyhedron point of view

Ould M. Abderrahmane (2004)

Annales de l’institut Fourier

Recently, T. Fukui and L. Paunescu introduced a weighted version of the ( w ) -regularity condition and Kuo’s ratio test condition. In this approach, we consider the ( w ) - regularity condition and ( c ) -regularity related to a Newton filtration.

Stratifications of teardrops

Bruce Hughes (1999)

Fundamenta Mathematicae

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.

Surgery on pairs of closed manifolds

Alberto Cavicchioli, Yuri V. Muranov, Fulvia Spaggiari (2009)

Czechoslovak Mathematical Journal

To apply surgery theory to the problem of classifying pairs of closed manifolds, it is necessary to know the subgroup of the group L P * generated by those elements which are realized by normal maps to a pair of closed manifolds. This closely relates to the surgery problem for a closed manifold and to the computation of the assembly map. In this paper we completely determine such subgroups for many cases of Browder-Livesay pairs of closed manifolds. Moreover, very explicit results are obtained in the...

Currently displaying 1 – 7 of 7

Page 1