Semi-monotone sets

DOI10.4171/JEMS/369zbMath1284.14081arXiv1004.5047OpenAlexW2964165921MaRDI QIDQ1940824

Saugata Basu, Nikolaj N. jun. Vorob'ev, Andrei Gabrielov

Publication date: 7 March 2013

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

Full work available at URL: https://arxiv.org/abs/1004.5047

zbMATH Keywords

triangulationsemialgebraic setdefinable setPL topologyo-minimal geometryregular cell

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semialgebraic sets and related spaces (14P10) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Model theory of ordered structures; o-minimality (03C64) Approximations in PL-topology (57Q55)

Related Items (6)

Triangulations of monotone families I: two-dimensional families ⋮ A Helly-type theorem for semi-monotone sets and monotone maps ⋮ Regular cylindrical algebraic decomposition ⋮ Monotone functions and maps ⋮ Toric cubes ⋮ Monotonicity of strata in the stratification of the cone of totally positive matrices

Cites Work

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• Geometry of subanalytic and semialgebraic sets
• Approximation of definable sets by compact families, and upper bounds on homotopy and homology

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