Real intersection homology

DOI10.1016/j.topol.2017.07.018zbMath1423.14335arXiv1701.08805OpenAlexW2586321432MaRDI QIDQ1688207

Clint McCrory, Adam Parusiński

Publication date: 5 January 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08805

zbMATH Keywords

stratificationsmall resolutionreal algebraic varietyintersection homologygeneral positionarc-symmetric setNash approximation

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Topology of real algebraic varieties (14P25) Intersection homology and cohomology in algebraic topology (55N33) Stratifications in topological manifolds (57N80)

Related Items (4)

Algebraic stratified general position and transversality ⋮ Real intersection homology. II: A local duality obstruction ⋮ Algebro-Geometric Equisingularity of Zariski ⋮ Intersection Homology

Cites Work

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• Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity
• Intersection homology. II
• Topological invariance of intersection homology without sheaves
• Nash manifolds
• Intersection homology theory
• Ensembles semi-algébriques symétriques par arcs. (Semi-algebraic sets symmetric by arcs)
• Quelques propriétés globales des variétés différentiables
• The weight filtration for real algebraic varieties
• Whitney Stratified Chains and Cochains
• Algebraically constructible functions1
• Algebraic stratified general position and transversality
• HOMOLOGY CLASSES REPRESENTED BY SEMIALGEBRAIC ARC-SYMMETRIC SETS

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