hi all,
i have this in my lecture notes "
An ascending filter F is non-bounded subset of algebra A in which any two elements are both exceeded (in the sense of >=) by some elements of F.
the supremum of F is the smallest element in A with a=<sup F for all a belongs to the F . "
when it says non-bonding it means my algebra A is infinite ? and also F is infinite ?
and if F is non-bounded how it is possible to have supremum ?