The Kuratowski convergence and connected components

DOI10.1016/J.JMAA.2011.08.058zbMath1228.32010OpenAlexW1988522465MaRDI QIDQ645368

Maciej P. Denkowski, Zofia Denkowska

Publication date: 15 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.058

zbMATH Keywords

Kuratowski convergencesubanalytic setstame geometry

Mathematics Subject Classification ID

Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (7)

Medial axis and singularities ⋮ On open analytic and subanalytic mappings ⋮ On the points realizing the distance to a definable set ⋮ Hölder-Łojasiewicz inequalities for volumes of tame objects ⋮ On definable multifunctions and Łojasiewicz inequalities ⋮ Higher order approximation of complex analytic sets by algebraic sets ⋮ A remark on the intersections of subanalytic leaves

Cites Work

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• Kuratowski convergence of the sections of a definable set
• Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps
• A geometric proof of the definability of Hausdorff limits
• Approximation of analytic sets with proper projection by Nash sets
• Continuity of intersection of analytic sets
• Variational Analysis
• On the Kuratowski convergence of analytic sets
• Set-valued analysis

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