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O-minimality

  • Annalisa Marcja
  • Carlo Toffalori
Part of the Trends in Logic book series (TREN, volume 19)

Abstract

The last part of this book is devoted to o-minimal structures. As we saw in the past chapters, they are the infinite expansions M=(M, ≤, ...) of linear orderings such that the subsets of M definable in M are as trivial as possible, and restrict to the finite unions of singletons and open intervals, possibly with infinite endpoints ±∞ (equivalently to the finite unions of open, closed, ... intervals in the broad sense including half-lines and the whole M).

Keywords

Open Interval Real Field Cell Decomposition Finite Union Quantifier Elimination 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Annalisa Marcja
    • 1
  • Carlo Toffalori
    • 2
  1. 1.University of FlorenceItaly
  2. 2.University of CamerinoItaly

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