Definition of Prefilters. Meaning of Prefilters. Synonyms of Prefilters
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Definition of Prefilters
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- characterization does not extend to prefilters. Equivalence of prefilters and filtersubbases If B {\displaystyle {\mathcal {B}}} is a prefilter on X {\displaystyle X}... - characterization does not extend to prefilters. Equivalence of prefilters and filtersubbases If B {\displaystyle {\mathcal {B}}} is a prefilter on X {\displaystyle X}... - then S {\displaystyle S} will be complete even if some or all Cauchyprefilters on S {\displaystyle S} also converge to points(s) in the complement X... - X} that is generated by an ultraprefilter. Ultraprefilters as maximalprefilters To characterizeultraprefilters in terms of "maximality," the following... - sets are calledprefilters, as well as the aforementionedfilter base/basis, and F is said to be generated or spanned by B. A prefilter is proper if and... - \operatorname {Filters} (X)} (respectively Prefilters ( X ) , {\displaystyle \operatorname {Prefilters} (X),} FilterSubbases ( X ) , {\displaystyle... - regards to videoencodingthreecategories of filters can be distinguished: prefilters: used beforeencoding intrafilters: used whileencoding (and are thus... - {\mathcal {B}}\}} is a prefilterequivalent to B − B {\displaystyle {\mathcal {B}}-{\mathcal {B}}} (equivalence meanstheseprefiltersgenerate the same filter... - f(x)} in Y . {\displaystyle Y.} Moreover, this happens if and only if the prefilter f ( N ( x ) ) {\displaystyle f({\mathcal {N}}(x))} is a filter base for... - (respectively, a Cauchyprefilter) F {\displaystyle F} on a uniformspace X {\displaystyle X} is a filter (respectively, a prefilter) F {\displaystyle F}...