Definition of Ultraproduct. Meaning of Ultraproduct. Synonyms of Ultraproduct

Here you will find one or more explanations in English for the word Ultraproduct. Also in the bottom left of the page several parts of wikipedia pages related to the word Ultraproduct and, of course, Ultraproduct synonyms and on the right images related to the word Ultraproduct.

Definition of Ultraproduct

No result for Ultraproduct. Showing similar results...

Meaning of Ultraproduct from wikipedia

- The ultraproduct is a mathematical construction that appears mainly in abstract algebra and mathematical logic, in particular in model theory and set theory...
- hypothesis holds. Ultraproducts are used as a general technique for constructing models that realise certain types. An ultraproduct is obtained from the...
- numbers. The ultraproduct models are uncountable. One way to see this is to construct an injection of the infinite product of N into the ultraproduct. However...
- constructions. For example, an ultraproduct modulo a prin****l ultrafilter is always isomorphic to one of the factors, while an ultraproduct modulo a free ultrafilter...
- to two fields, one given by an ultraproduct over all primes of the fields Fp((t)) and the other given by an ultraproduct over all primes of the p-adic...
- compact Hausdorff spaces, and in model theory in the construction of ultraproducts and ultrapowers. Every ultrafilter on a compact Hausdorff space converges...
- \varphi } holds in the ultraproduct ∏ i ⊆ Σ M i / U . {\textstyle \prod _{i\subseteq \Sigma }{\mathcal {M}}_{i}/U.} So this ultraproduct satisfies all formulas...
- is an ultrafilter on a set I, and Fi is a field for every i in I, the ultraproduct of the Fi with respect to U is a field. It is denoted by ulimi→∞ Fi,...
- product category, a category that is the product of categories. the ultraproduct, in model theory. the internal product of a monoidal category, which...
- Kripke's T-schema Transfer principle Truth predicate Truth value Type Ultraproduct Validity Com****bility theory Church encoding Church–Turing thesis Com****bly...