On the number of homotopy types of fibres of a definable map

DOI10.1112/jlms/jdm069zbMath1131.14060arXivmath/0605517OpenAlexW2144905782MaRDI QIDQ5436520

Saugata Basu, Nikolaj N. jun. Vorob'ev

Publication date: 16 January 2008

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605517

zbMATH Keywords

Betti numberso-minimal structuresemi-algebraic setsWhitney stratificationPfaffian mapsssub-Pfaffian sets

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Topology of real algebraic varieties (14P25) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (8)

On the Reeb spaces of definable maps ⋮ Persistent Homology of Semialgebraic Sets ⋮ On homotopy types of limits of semi-algebraic sets and additive complexity of polynomials ⋮ Polynomial bounds for the oscillation of solutions of Fuchsian systems ⋮ TOPOLOGY OF FAMILIES OF ALGEBRAIC CURVES CONTINUOUSLY DEPENDING ON A PARAMETER, AND APPLICATIONS ⋮ On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem ⋮ On the number of topological types occurring in a parameterized family of arrangements ⋮ A complexity theory of constructible functions and sheaves

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