The notion of conically smooth structure on a stratified space was introduced by Ayala, Francis and Tanaka. This is a very well behaved analogue of a differential structure in the context of stratified topological spaces, satisfying good properties such as the existence of resolutions of singularities and handlebody decompositions. In this paper we prove Ayala, Francis and Tanaka's conjecture that any Whitney stratified space admits a canonical conically smooth structure. We thus establish a connection between the theory of conically smooth spaces and the classical examples of stratified spaces from differential topology.Comment: 18 page
We modify the theory of homotopy groups to obtain invariants of Whitney stratified spaces by conside...
AbstractWhen can a topological manifold be smoothed—i.e., when does its (maximal) topological atlas ...
En 1979, Trotman a démontré que les stratifications réelles lisses qui satisfont la condition de (a)...
Using continuous controlled liftings of vector fields, we first prove for Bekka's (c)-and hence Whit...
In a joint work with Claudio Murolo and Andrew du Plessis we proved the smooth Whitney fibering conj...
We describe a new algorithm for computing Whitney stratifications of complex projective varieties. T...
Nouvelle version avec changement de titre et matériel supplémentaire du preprint "The smooth Whitney...
Nouvelle version avec changement de titre et matériel supplémentaire du preprint "The smooth Whitney...
Abstract. In this paper we give a simple geometric proof of existence of so-called Whitney stratific...
Abstract. We develop a theory of smoothly stratified spaces and their moduli, including a notion of ...
AbstractWe characterize those maps between homotopically stratified spaces whose mapping cylinders a...
The book provides an introduction to stratification theory leading the reader up to modern research ...
This paper continues our project started in [11] where Poincaré duality in K–theory was studied for ...
AbstractBasic topological constructions of manifold stratified spaces and stratified approximate fib...
The purpose of this paper is to investigate the definition of symplectic structure on a smooth strat...
We modify the theory of homotopy groups to obtain invariants of Whitney stratified spaces by conside...
AbstractWhen can a topological manifold be smoothed—i.e., when does its (maximal) topological atlas ...
En 1979, Trotman a démontré que les stratifications réelles lisses qui satisfont la condition de (a)...
Using continuous controlled liftings of vector fields, we first prove for Bekka's (c)-and hence Whit...
In a joint work with Claudio Murolo and Andrew du Plessis we proved the smooth Whitney fibering conj...
We describe a new algorithm for computing Whitney stratifications of complex projective varieties. T...
Nouvelle version avec changement de titre et matériel supplémentaire du preprint "The smooth Whitney...
Nouvelle version avec changement de titre et matériel supplémentaire du preprint "The smooth Whitney...
Abstract. In this paper we give a simple geometric proof of existence of so-called Whitney stratific...
Abstract. We develop a theory of smoothly stratified spaces and their moduli, including a notion of ...
AbstractWe characterize those maps between homotopically stratified spaces whose mapping cylinders a...
The book provides an introduction to stratification theory leading the reader up to modern research ...
This paper continues our project started in [11] where Poincaré duality in K–theory was studied for ...
AbstractBasic topological constructions of manifold stratified spaces and stratified approximate fib...
The purpose of this paper is to investigate the definition of symplectic structure on a smooth strat...
We modify the theory of homotopy groups to obtain invariants of Whitney stratified spaces by conside...
AbstractWhen can a topological manifold be smoothed—i.e., when does its (maximal) topological atlas ...
En 1979, Trotman a démontré que les stratifications réelles lisses qui satisfont la condition de (a)...