Singularity Theory: Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference

Autor: Denis Cheniot, Nicolas Dutertre, Claudio Murolo, Anne Pichon, David Trotman

The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the

STRATIFIED TRANSVERSALITY VIA TIME-DEPENDENT VECTOR FIELDS

Autor: A. A. Du Plessis, David Trotman, Claudio Murolo

Publikováno v: Journal of the London Mathematical Society. 71:516-530

For a stratification with suitable regularity, in particular for any Whitney stratification and, via regular embedding, for any abstract stratified set, time-dependent vector fields are used to prove an extension theorem for diffeomorphisms near the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::055a0ac02f1c1c8ebf927054997d842b
https://doi.org/10.1112/s002461070400612x

Stratified Submersions and Condition (D)

Autor: Claudio Murolo

Publikováno v: Journal of Singularities
Journal of Singularities, Worldwide Center of Mathematics, LLC, 2014, volume 13 (2015), 179-204 13, pp.179-204. ⟨10.5427/jsing.2015.13j⟩
Journal of Singularities, 2014, volume 13 (2015), 179-204 13, pp.179-204. ⟨10.5427/jsing.2015.13j⟩

International audience; In this paper we investigate Goresky's Condition (D) for a stratified submersion between two Whitney stratifications. After revisiting the main results on Condition (D) of 1976 and 1981 due to Goresky, we give new equivalent p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4134870b495c9d49d0aa9d6f35dd59d1
https://hal.archives-ouvertes.fr/hal-01291810

Diffeomorphisms lying in one-parameter groups and extension of stratified homeomorphisms

Autor: Claudio Murolo

Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 130:333-341

In this note we first show, using results of McDuff, that for a C r -manifold S , diffeomorphic to the interior of a compact manifold with boundary, the class of all C r -diffeomorphisms lying in a one parameter group of S generates the connected com

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::74bd7c75523efde679eea676d4f66d53
https://doi.org/10.1017/s0305004100004734

Horizontally-C1 controlled stratified maps and Thom's first isotopy theorem

Autor: Claudio Murolo, David Trotman

Publikováno v: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 330:707-712

We state results concerning horizontally-C1 regularity for a stratified map f: X → X ′ . It requires the existence of local stratified (a)-regular horizontal foliations for X and X ′ (a smooth version of the conjectured complex analytic “Whit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a63f226a4af223c7bd1486e731598b0d
https://doi.org/10.1016/s0764-4442(00)00220-2