o-minimal theory
23,99 €
inkl. MwSt.

Versandfertig in 6-10 Tagen
payback
12 °P sammeln
  • Broschiertes Buch

High Quality Content by WIKIPEDIA articles! In mathematical logic, and more specifically in model theory, an infinite structure (M,,...) which is totally ordered by is called an o-minimal structure if and only if every definable subset X M (with parameters taken from M) is a finite union of intervals and points. O-minimality can be regarded as a weak form of quantifier elimination. A structure M is o-minimal if and only if every formula with one free variable and parameters in M is equivalent to a quantifier-free formula involving only the ordering, also with parameters in M. This is analogous…mehr

Andere Kunden interessierten sich auch für
Produktbeschreibung
High Quality Content by WIKIPEDIA articles! In mathematical logic, and more specifically in model theory, an infinite structure (M,,...) which is totally ordered by is called an o-minimal structure if and only if every definable subset X M (with parameters taken from M) is a finite union of intervals and points. O-minimality can be regarded as a weak form of quantifier elimination. A structure M is o-minimal if and only if every formula with one free variable and parameters in M is equivalent to a quantifier-free formula involving only the ordering, also with parameters in M. This is analogous to the minimal structures, which are exactly the analogous property down to equality. A theory T is an o-minimal theory if every model of T is o-minimal. One can show that the complete theory T of an o-minimal structure is an o-minimal theory. This result is remarkable because the complete theory of a minimal structure need not be a strongly minimal theory, that is, there may be an elementarily equivalent structure which is not minimal.