ultrapower

Noun

Meaning

ultrapower (plural ultrapowers)

(mathematics) The special case of an ultraproduct where all factors are equal.

Examples

An intuitive approach to the ultrapower construction The following is an intuitive way of understanding the hyperreal numbers. Source: Internet

The ultrapower construction We are going to construct a hyperreal field via sequences of reals. citation In fact we can add and multiply sequences componentwise; for example: : and analogously for multiplication. Source: Internet

For example, if the Continuum Hypothesis holds then every countable model has an ultrapower which is saturated (in its own cardinality). Source: Internet

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