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O que (quem) é normal ultrafilter - definição

PHYSICS

Normal ultrapower; Normal ultrafilter

Normal measure

In set theory, a normal measure is a measure on a measurable cardinal κ such that the equivalence class of the identity function on κ maps to κ itself in the ultrapower construction. Equivalently, if f:κ→κ is such that f(α)<α for most α<κ, then there is a β<κ such that f(α)=β for most α<κ.

https://en.wikipedia.org/wiki/Normal_measure

Ultrafilter (set theory)

MAXIMAL PROPER FILTER

Ultrafilter lemma; Ultrafilter Lemma; Ultrafilter principle; Rudin-Keisler ordering; Rudin–Keisler ordering; Rudin–Keisler order; Rudin-Keisler order; Principal ultrafilter; Ramsey ultrafilter; Selective ultrafilter; Rudin–Keisler equivalent; Rudin-Keisler equivalent; The ultrafilter lemma; Ultra prefilter; Free ultrafilter (set theory); Ultrafilter monad

In the mathematical field of set theory, an ultrafilter is a maximal proper filter: it is a filter U on a given non-empty set X which is a certain type of non-empty family of subsets of X, that is not equal to the power set \wp(X) of X (such filters are called ) and that is also "maximal" in that there does not exist any other proper filter on X that contains it as a proper subset.

https://en.wikipedia.org/wiki/Ultrafilter_(set_theory)

Normal force

FORCE EXERTED ON AN OBJECT BY A BODY WITH WHICH IT IS IN CONTACT, AND VICE VERSA

Normal Force; Normal reaction

In mechanics, the normal force F_n is the component of a contact force that is perpendicular to the surface that an object contacts, as in Figure 1. In this instance normal is used in the geometric sense and means perpendicular, as opposed to the common language use of normal meaning "ordinary" or "expected".

https://en.wikipedia.org/wiki/Normal_force

Wikipédia

Normal measure

In set theory, a normal measure is a measure on a measurable cardinal κ such that the equivalence class of the identity function on κ maps to κ itself in the ultrapower construction. Equivalently, if f:κ→κ is such that f(α)<α for most α<κ, then there is a β<κ such that f(α)=β for most α<κ. (Here, "most" means that the set of elements of κ where the property holds is a member of the ultrafilter, i.e. has measure 1.) Also equivalent, the ultrafilter (set of sets of measure 1) is closed under diagonal intersection.

For a normal measure, any closed unbounded (club) subset of κ contains most ordinals less than κ. And any subset containing most ordinals less than κ is stationary in κ.

If an uncountable cardinal κ has a measure on it, then it has a normal measure on it.

https://en.wikipedia.org/wiki/Normal measure