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In particular, a set is ultra if and only if and contains as a subset some ultra family of sets. A filter subbase that is ultra is necessarily a prefilter. [proof 1] The ultra property can now be used to define both ultrafilters and ultra prefilters: An ultra prefilter [2] [3] is a prefilter that is ultra. Equivalently, it is a filter subbase ...
The ultrafilter monad is the codensity monad of the inclusion of the category of finite sets into the category of all sets. [ 1 ] Similarly, the ultraproduct monad is the codensity monad of the inclusion of the category F i n F a m {\displaystyle \mathbf {FinFam} } of finitely-indexed families of sets into the category F a m {\displaystyle ...
Aurora designed the AFX cars with interchangeable car body shells usually compatible with each chassis they released during these years. The original 1971 A/FX chassis utilized an updated version of the existing pancake motor design of Aurora's "Thunderjet 500" line, popular in the 1960s. [2]
Later sets added 45 degree bends and 10" straights. More elaborate sets included a 4 lanes wide straight that allowed you to drive off onto a second track or a pitlane, a banked corner where the centrifugal force generated by a fast moving car would allow it to run off from the electronic power strips onto a banked extension to the outside of ...
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The mastermind behind the "Alex Model" agency was 25-year-old Alexander N. (Ukrainian: Александру Н.; Александра Чурсина) from Kyiv, who was arrested, and a criminal case for distributing child pornography was initiated against him. [8] Other members of the group remained wanted.
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