A filter basis for a set is a non-empty collection of subsets of which does not contain the empty set such that, for every and every , there exists a such that .
Two filter bases are said to be equivalent if they generate the same filter. Likewise, two filter subbases are said to be equivalent if they generate the same filter.
Note: Not every author requires that filters do not contain the empty set. Because every filter is a filter basis then accordingly some authors allow that a filter base can contain the empty set.
|Date of creation||2013-03-22 14:41:34|
|Last modified on||2013-03-22 14:41:34|
|Last modified by||rspuzio (6075)|