Rings of analytic functions definable in o-minimal structure

DOI10.1016/S0022-4049(02)00313-4zbMath1028.03031MaRDI QIDQ1399141

Fujita Masato, Masahiro Shiota

Publication date: 30 July 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

o-minimal structuresreal analytic manifoldArtin-Lang propertyHilbert's 17th Problemo-minimal expansion of the real fieldReal Nullstellensatzring of analytic functions

Mathematics Subject Classification ID

Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64) Real algebra (13J30)

Related Items (2)

Closure and connected component of a planar global semianalytic set defined by analytic functions definable in o-minimal structure ⋮ o-minimal analytic separation of sets in dimension 2

Cites Work

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• A Two-Color Theorem for Analytic Maps in R n

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