Metric homology for isolated conical singularities.

DOI10.1016/S0007-4497(01)01085-5zbMath1064.14067OpenAlexW2050087075MaRDI QIDQ1599923

Lev Birbrair, Jean-Paul Brasselet

Publication date: 7 August 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(01)01085-5

zbMATH Keywords

cyclesemialgebraic setconical singularities

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Topology of real algebraic varieties (14P25) Other homology theories in algebraic topology (55N35)

Related Items

The link of the germ of a semi-algebraic metric space ⋮ Inner metric geometry of complex algebraic surfaces with isolated singularities ⋮ Choking horns in Lipschitz geometry of complex algebraic varieties. Appendix by Walter D. Neumann ⋮ The bilipschitz geometry of the A_k surface singularities ⋮ Vanishing homology ⋮ Bi-Lipschitz geometry of complex surface singularities

Cites Work

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• Filling Riemannian manifolds
• Intersection homology theory
• \(L^ p\) cohomology of cones and horns
• Normal embeddings of semialgebraic sets
• Normal and integral currents
• Metric homology
• Simplicial Differential Forms with Poles
• Lipschitz stratification of subanalytic sets