2013Annales de l’institut FourierOpen access

On some global semianalytic sets

Abdelhafed Elkhadiri

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Abstract

We give some structures without quantifier elimination but in which the closure, and hence the interior and the boundary, of a quantifier free definable set is also a quantifier free definable set.

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What this paper is about

We give some structures without quantifier elimination but in which the closure, and hence the interior and the boundary, of a quantifier free definable set is also a quantifier free definable set.

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Available abstract

We give some structures without quantifier elimination but in which the closure, and hence the interior and the boundary, of a quantifier free definable set is also a quantifier free definable set.

Key concepts: Quantifier (linguistics), Quantifier elimination, Closure (psychology), Set (abstract data type), Mathematics, Boundary (topology), Discrete mathematics, Combinatorics

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