Stability of transversality to a stratification implies Whitney (a)- regularity

DOI10.1007/BF01410081zbMath0397.58016OpenAlexW1998514443MaRDI QIDQ1253842

David J. A. Trotman

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142616

zbMATH Keywords

StratificationTransversalityStableBaire SpaceGenenicSpace of Smooth MapsStrong TopologyWhitney (A)-Regularity

Mathematics Subject Classification ID

Manifolds of mappings (58D15)

Related Items

Determining and uniformly estimating the gauge potential corresponding to a given gauge field on \(M^ 4\), Old and New Results on Density of Stable Mappings, Witten spinors on nonspin manifolds, Imaging geometric graphs using internal measurements, Transversality of smooth definable maps in O-minimal structures, Tangents limites, cône de Whitney et régularité par intersection. (Extreme tangents, Whitney cones and regularity by intersection), Stratifications, equisingularity and triangulation, STRATIFIED TRANSVERSALITY OF HOLOMORPHIC MAPS, A stratified homotopy hypothesis, Local structures on stratified spaces, Continuous liftings of vector fields, Transversality theorems for the weak topology, Counting singularities, Stratification Theory, Perturbation of quadrics, Algebro-Geometric Equisingularity of Zariski, Bounding the length of gradient trajectories

Cites Work

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• Topological Classification of Endomorphisms of Complex Line Bundles
• Whitney $(a)$-faults which are hard to detect
• A Transversality Property Weaker than Whitney (A)-Regularity
• Differential Topology
• The Geometry of Immersions. I
• Ensembles et morphismes stratifiés