Counting singularities

DOI10.1017/S0308210500031747zbMath0509.58010OpenAlexW4229662862MaRDI QIDQ4747262

J. W. Bruce

Publication date: 1982

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500031747

zbMATH Keywords

Whitney stratificationsgeneric mappingslocal incidence numbers

Mathematics Subject Classification ID

Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Stratified sets (58A35) Complex singularities (32Sxx)

Cites Work

• Affine cubic functions. II: Functions on \(C^ 3\) with a corank 2 singular point
• Decomposition of simple singularities of functions
• Stability of transversality to a stratification implies Whitney (a)- regularity
• Generic projections
• Canonical stratifications of functions: the simple singularities
• On generic hypersurfaces in ℝⁿ
• The duals of generic hypersurfaces.
• Affine cubic functions

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