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Paper   IPM / M / 16208
School of Mathematics
  Title:   Strong cell decomposition property in o-minimal traces
  Author(s):  Somsyyeh Tari
  Status:   Published
  Journal: Arch. Math. Logic
  Year:  2020
  Pages:   DOI: 10.1007/s00153-020-00739-2
  Supported by:  IPM
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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