o-minimal analytic separation of sets in dimension 2
type: Item
instance of: scholarly article
title: o-minimal analytic separation of sets in dimension 2
zbMATH Open document ID: 1173.03034
author: Andreas Fischer
published in: Annals of Pure and Applied Logic
publication date: 2009-03-25T00:00:00Z
review text: The author proves the very interesting theorem that definable analytic separation of definable sets in the plane is equivalent with density of definable analytic germs in the Hardy field \(H_{\mathcal{M}}\). This result is a generalization in dimension \(2\) of the famous separation theorem of \textit{T. Mostowski} [``Some properties of the ring of Nash functions'', Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 3, 245--266 (1976; Zbl 0335.14001)].
reviewed by: Zbigniew Hajto
Mathematics Subject Classification ID: 03C64
Mathematics Subject Classification ID: 32B20
zbMATH DE Number: 5532835
zbMATH Keywords: o-minimal structure
zbMATH Keywords: analytic separation
zbMATH Keywords: Hardy field
MaRDI profile type: Publication
full work available at URL: j.apal.2008.09.005
OpenAlex ID: W1983031289
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DOI: 10.1016/J.APAL.2008.09.005
description: scientific article; zbMATH DE number 5532835