“School of Mathematics”
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| Paper IPM / M / 16208 | ||||||||||||||||
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Strong cell decomposition property has been proved in non-valuational weakly ominimal
expansions of ordered groups. In this note, we show that all o-minimal traces
have strong cell decomposition property. Also after introducing the notion of irrational
nonvaluational cut in arbitrary o-minimal structures, we show that every expansion of
o-minimal structures by irrational nonvaluational cuts is an o-minimal trace.
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