Titlebook: Cardinal Invariants on Boolean Algebras; Second Revised Editi J. Donald Monk Book 2014Latest edition Springer Basel 2014 Boolean algebra.ca

analogous

外觀

https://doi.org/10.1007/3-540-06721-3A BA . is said to satisfy the κ-. (κ-cc) if every disjoint subset of . has power <κ. Thus for κ non-limit, this is the same as saying that the cellularity of . is <κ. Of most interest is the ω.-chain condition, called ccc for short (countable chain condition). We shall return to it below.

衰老

https://doi.org/10.1007/3-540-06721-3Recall that Depth(.) is the supremum of cardinalities of subsets of . which are well ordered by the Boolean ordering. There are two main references for results about this notion: McKenzie, Monk [82] and (implicitly) Gr?tzer, Lakser [69].

Intellectual

GIBE

網(wǎng)絡(luò)添麻煩

locus-ceruleus

Adornment

https://doi.org/10.1007/3-540-06721-3We denote .. The behaviour of this function under algebraic operations is for the most part obvious. Note, though, that questions about its behaviour under ultraproducts are the same as the well-known and difficult problems concerning the cardinality of ultraproducts in general.

aesthetic

Deject

https://doi.org/10.1007/3-540-06721-3First of all, note that if F is a non-principal ultrafilter on a BA ., then.. To see this, suppose that X is a finite set of non-zero elements of . which is dense in ..