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Coverings by open cells
Archive for Mathematical Logic 53 (3-4):307-325 (2014)
Abstract
We prove that in a semi-bounded o-minimal expansion of an ordered group every non-empty open definable set is a finite union of open cells.Other Versions
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Citations of this work
SCE-Cell Decomposition and OCP in Weakly O-Minimal Structures.Jafar S. Eivazloo & Somayyeh Tari - 2016 - Notre Dame Journal of Formal Logic 57 (3):399-410.
CE-cell decomposition and open cell property in o-minimal structures.Somayyeh Tari - 2017 - Annals of Pure and Applied Logic 168 (8):1564-1570.
References found in this work
A structure theorem for semibounded sets in the reals.Ya'acov Peterzil - 1992 - Journal of Symbolic Logic 57 (3):779-794.
Groups Definable in Ordered Vector Spaces over Ordered Division Rings.Pantelis E. Eleftheriou & Sergei Starchenko - 2007 - Journal of Symbolic Logic 72 (4):1108 - 1140.
Structure theorems for o-minimal expansions of groups.Mario J. Edmundo - 2000 - Annals of Pure and Applied Logic 102 (1-2):159-181.
Additive reducts of real closed fields.David Marker, Ya'acov Peterzil & Anand Pillay - 1992 - Journal of Symbolic Logic 57 (1):109-117.
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