Semi-differentiable stratified morphisms

Autor:	David Trotman, Claudio Murolo
Rok vydání:	1999
Předmět:	Physics::Fluid Dynamics Bounded function Mathematical analysis Differential topology Vector field General Medicine Differentiable function Linear subspace Stratification (mathematics) Vector space Morse theory Mathematics
Zdroj:	Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 329:147-152
ISSN:	0764-4442
DOI:	10.1016/s0764-4442(99)80479-0
Popis:	Near each stratum of a stratified space we use canonical distributions to improve known theorems on continuous controlled lifting of vector fields. We define semi-differentiable and horizontally-C1 stratified controlled morphisms ƒ: x x' between stratified spaces. When x' is a smooth manifold, ƒ is semi-differentiable. Otherwise semi-differentiability is equivalent to having bounded derivatives and being horizontally-C1. A semi-differentiable stratified homeomorphism preserves regularity of stratified subspaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b832d0595321fb1c6f43ac13f57855b7 https://doi.org/10.1016/s0764-4442(99)80479-0 Zobrazit plný text záznamu