Word info

ultrapower

Noun

Meaning

ultrapower (plural ultrapowers)

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

Source: en.wiktionary.org

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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