On the smooth Whitney fibering conjecture

DOI10.1112/JLMS.70021MaRDI QIDQ6658755

Andrew A. du Plessis, David Trotman, Claudio Murolo

Publication date: 8 January 2025

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Foliations in differential topology; geometric theory (57R30) Isotopy in differential topology (57R52) Classification; finite determinacy of map germs (58K40)

Cites Work

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• A geometric proof of the existence of definable Whitney stratifications
• Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity
• Topological stability through extremely tame retractions
• Morse theory and tilting sheaves
• Abstract prestratified sets are (b)-regular
• Piecewise linearization of real analytic functions
• Transverse transversals and homeomorphic transversals
• Verdier and strict Thom stratifications in o-minimal structures
• The realization of abstract stratified sets
• Stratifications de Whitney et théorème de Bertini-Sard
• Topological stability of smooth mappings
• Geometry of subanalytic and semialgebraic sets
• Variation of the Green function on Riemann surfaces and Whitney's holomorphic stratification conjecture
• Champs totalement radiaux sur une structure de Thom-Mather. (Totally radial vector fields on a Thom-Mather space.)
• Geometric categories and o-minimal structures
• Real Milnor fibrations and \((C)\)-regularity
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• Geometric versions of Whitney regularity for smooth stratifications
• Whitney Stratified Chains and Cochains
• Triangulation of Stratified Objects
• Semi-differentiable stratified morphisms
• Stratified transversality by isotopy
• Horizontally-C1 controlled stratified maps and Thom's first isotopy theorem
• STRATIFIED TRANSVERSALITY VIA TIME-DEPENDENT VECTOR FIELDS
• Notes on Topological Stability
• Persistence of stratification of normally expanded laminations
• Stratified Submersions and Condition (D)
• Ensembles et morphismes stratifiés
• Continuous liftings of vector fields

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