Some definable properties of sets in non-valuational weakly o-minimal structures
type: Item
instance of: scholarly article
title: Some definable properties of sets in non-valuational weakly o-minimal structures
zbMATH Open document ID: 1367.03073
author: Somayyeh Tari
published in: Archive for Mathematical Logic
publication date: 2017-05-11T00:00:00Z
review text: The author studies properties of non-valuational weakly o-minimal expansions of real closed fields and ordered groups. He proves that every non-valuational weakly o-minimal expansion of a real closed field has a \(C^r\)-strong cell decomposition property for each positive integer \(r\). The author also proves that the curve selection property holds in non-valuational weakly o-minimal expansions of ordered groups. At last, he presents a criterion for definable compactness of a definable set in a non-valuational weakly o-minimal expansion of an ordered group.
Mathematics Subject Classification ID: 03C64
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 12D99
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 12L12
zbMATH DE Number: 6714186
zbMATH Keywords: weak o-minimality
zbMATH Keywords: non-valuational weakly o-minimal expansions of real closed fields and ordered groups
zbMATH Keywords: a \(C^r\)-strong cell decomposition property
zbMATH Keywords: curve selection
zbMATH Keywords: definable compactness
reviewed by: B. Sh. Kulpeshov
MaRDI profile type: Publication
full work available at URL: s00153-017-0523-1
OpenAlex ID: W2580425055
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DOI: 10.1007/S00153-017-0523-1
description: scientific article; zbMATH DE number 6714186