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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 ...
Ultra-5: A slotless chassis released in sets from 1977 through 1978. Used a solenoid up front to control the steering. ... '31 MODEL "A" FORD PANEL ... #21; green and ...
Operating predominantly in Kyiv with branches in cities like Kharkiv and Simferopol, the agency, named "Alex Model" (Ukrainian: Алекс-Модел), was identified as one of the major producers and distributors of child pornographic content, which was branded under several names throughout the world using the "LS" abbreviation as LS-Models, LS-Magazine, LS-Girls, LS-Studio, LS-Island, LS ...
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Ultrafilters on power sets are useful in topology, especially in relation to compact Hausdorff spaces, and in model theory in the construction of ultraproducts and ultrapowers. Every ultrafilter on a compact Hausdorff space converges to exactly one point. Likewise, ultrafilters on Boolean algebras play a central role in Stone's representation ...
Lego Ultra Agents was an updated version of the previous Lego Agents theme, which was released in 2008, Lego Agents itself was also an update of Lego Alpha Team.Lego Ultra Agents included some of the original high-tech spy concepts of the Lego Agents and Alpha Team themes, but also introduced a storyline and a series of secret build instructions for the Lego sets that were delivered through ...