Definition of Prefilters. Meaning of Prefilters. Synonyms of Prefilters

- characterization does not extend to prefilters. Equivalence of prefilters and filter subbases If B {\displaystyle {\mathcal {B}}} is a prefilter on X {\displaystyle X}...
- characterization does not extend to prefilters. Equivalence of prefilters and filter subbases If B {\displaystyle {\mathcal {B}}} is a prefilter on X {\displaystyle X}...
- X} that is generated by an ultra prefilter. Ultra prefilters as maximal prefilters To characterize ultra prefilters in terms of "maximality," the following...
- then S {\displaystyle S} will be complete even if some or all Cauchy prefilters on S {\displaystyle S} also converge to points(s) in the complement X...
- sets are called prefilters, as well as the aforementioned filter base/basis, and F is said to be generated or spanned by B. A prefilter is proper if and...
- regards to video encoding three categories of filters can be distinguished: prefilters: used before encoding intrafilters: used while encoding (and are thus...
- {\mathcal {B}}\}} is a prefilter equivalent to B − B {\displaystyle {\mathcal {B}}-{\mathcal {B}}} (equivalence means these prefilters generate the same filter...
- \operatorname {Filters} (X)} (respectively Prefilters ⁡ ( X ) , {\displaystyle \operatorname {Prefilters} (X),} FilterSubbases ⁡ ( X ) , {\displaystyle...
- 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 Cauchy prefilter) F {\displaystyle F} on a uniform space X {\displaystyle X} is a filter (respectively, a prefilter) F {\displaystyle F}...