Algebraically constructible functions1

DOI10.1016/S0012-9593(97)89930-2zbMath0913.14018arXivalg-geom/9606004OpenAlexW1982726718MaRDI QIDQ4350894

Adam Parusiński, Clint McCrory

Publication date: 23 October 1997

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9606004

zbMATH Keywords

Euler integralNash constructible functionsemialgebraically constructible functionstrongly algebraic constructible integer valued function

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Topology of real algebraic varieties (14P25) Nash functions and manifolds (14P20)

Related Items (20)

Semi-algebraic geometry with rational continuous functions ⋮ Description of algebraically constructible functions ⋮ Algebraically constructible functions and signs of polynomials ⋮ Asymptotic values of polynomial mappings of the real plane ⋮ On Grothendieck rings and algebraically constructible functions ⋮ Real intersection homology ⋮ Orbifold Euler characteristics of non‐orbifold groupoids ⋮ Regularité conormale classique des problèmes de Cauchy et de reflexion transverse pour un système 2\(\times 2\) semilinéaire. (Classical conormal regularity for Cauchy problems and transversal reflection for a two by two semilinear system) ⋮ Algebraicity of Nash sets and of their asymmetric cobordism ⋮ Weight complexe of real algebraic varieties with action ⋮ Algebraically constructible chains. ⋮ The topology of corank 1 multi-singularities of stable smooth mappings of equidimensional manifolds ⋮ Topological invariants of analytic sets associated with Noetherian families. ⋮ Corank 1 singularities of stable smooth maps and special tangent hyperplanes to a space curve ⋮ Cohomology and products of real weight filtrations ⋮ Immersions of spheres and algebraically constructible functions ⋮ Global Euler obstruction, global Brasselet numbers and critical points ⋮ AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES ⋮ The topology of adjacencies of type \(A\) and \(D\) Lagrangian singularities ⋮ Witt group and torsion Picard group of real curves

Cites Work

• The topology of real algebraic sets
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• Ensembles semi-algébriques symétriques par arcs. (Semi-algebraic sets symmetric by arcs)
• On semi- and subanalytic geometry
• Algebraically constructible functions and signs of polynomials
• The topology of two-dimensional real algebraic varieties
• Stiefel-Whitney homology classes
• Triangulations of Subanalytic Sets and Locally Subanalytic Manifolds
• Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
• Complex monodromy and the topology of real algebraic sets
• Stiefel-Whitney classes and the conormal cycle of a singular variety
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