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book chapter · 1994

Interpretability

Alexandre Borovik, Ali Nesin

Cited by 0Abstract and details only

Abstract

Abstract We need very little from model theory: just two concepts, and no real results, not even the compactness theorem. The concepts, definability and interpretability, are dealt with in this chapter and the next. The algebraist who has gi en no thought to formal languages will need to look carefully at the material of this section as well as its first few applications subsequently. The motivation comes from algebraic geometry over algebraically closed fields, where definable sets in the technical sense turn out to be the Zariski constructible sets (Zariski open subsets of algebraic varieties) in affine space. The notion of the dimension of an irreducible variety extends to a notion of dimension for constructible sets with little change in its properties, though it becomes somewhat harder to define irreducibility and impossible to define connectivity in this context.

Cite this paper

APA 7

Borovik, A., & Nesin, A. (1994). Interpretability. https://doi.org/10.1093/oso/9780198534457.003.0003

MLA 9

Borovik, Alexandre, and Ali Nesin. “Interpretability.” 1994, pp. 29–51, https://doi.org/10.1093/oso/9780198534457.003.0003.

Chicago

Borovik, Alexandre, and Ali Nesin. 1994. “Interpretability.” https://doi.org/10.1093/oso/9780198534457.003.0003.

Harvard

Borovik, A. and Nesin, A. (1994) ‘Interpretability’. Available at: https://doi.org/10.1093/oso/9780198534457.003.0003.

BibTeX
@incollection{borovik1994interpretability,
  title = {{Interpretability}},
  author = {Borovik, Alexandre and Nesin, Ali},
  pages = {29--51},
  year = {1994},
  doi = {10.1093/oso/9780198534457.003.0003}
}

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