\(h\)-cobordism and \(s\)-cobordism theorems: transfer over semialgebraic and Nash categories, uniform bound and effectiveness

DOI10.5802/aif.2652zbMath1267.57024OpenAlexW2962735472MaRDI QIDQ407800

Mady Demdah Kartoue

Publication date: 28 March 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219827

zbMATH Keywords

complexitycobordismeffectivenesssemialgebraic

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Nash functions and manifolds (14P20) Cobordism and concordance in topological manifolds (57N70)

Related Items (2)

Regular cylindrical algebraic decomposition ⋮ Simultaneous resolution of singularities in the Nash category: finiteness and effectiveness

Cites Work

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• Generalized Poincaré's conjecture in dimensions greater than four
• Effectiveness - non effectiveness in semialgebraic and PL geometry
• Locally semialgebraic spaces
• Nash manifolds
• Nash triviality in families of Nash manifolds
• Modified Nash triviality of a family of zero-sets of real polynomial mappings
• Le théorème de Barden-Mazur-Stallings
• Triangulations of Subanalytic Sets and Locally Subanalytic Manifolds
• THE PROBLEM OF DISCRIMINATING ALGORITHMICALLY THE STANDARD THREE-DIMENSIONAL SPHERE
• Complexité des fonctions de nash

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