Some classical analysis results for continuous definable mappings

DOI10.1016/j.jmaa.2022.126380OpenAlexW4281641535MaRDI QIDQ2154421

Trúóng Xuân Dúc Hā, Tiên Sȯn Phạm

Publication date: 19 July 2022

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

Full work available at URL: https://arxiv.org/abs/2105.11652

zbMATH Keywords

regularityBrouwer degreesurjectivitymean value theoremimplicit functionopennesso-minimal structureglobal invertibilitySard theoreminverse function theoremsdefinable mapping

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Real algebraic and real-analytic geometry (14P99) Model theory of ordered structures; o-minimality (03C64) Quantifier elimination, model completeness, and related topics (03C10) Triangulation and topological properties of semi-analytic andsubanalytic sets, and related questions (32B25)

Related Items (1)

Definable continuous mappings and Whyburn’s conjecture

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