- equivalent.
Cofinality can be
similarly defined for a
directed set and is used to
generalize the
notion of a
subsequence in a net. The
cofinality of a partially...
-
there is a "larger element" in B
Cofinality (mathematics), the
least cardinality of a
cofinal subset in this
sense Cofinal (music), a part of some Gregorian...
- The
cofinality of any
ordinal α is a
regular ordinal, i.e. the
cofinality of the
cofinality of α is the same as the
cofinality of α. So the
cofinality operation...
-
where the
minimum possible cardinality of a
cofinal subset of A {\displaystyle A} is
referred to as the
cofinality of A . {\displaystyle A.} Let ≤ {\displaystyle...
-
cannot equal certain special cardinals with
cofinality ℵ0. An
uncountably infinite cardinal κ
having cofinality ℵ0
means that
there is a (countable-length)...
- below, C,
remained the
lower limit. In
addition to the range, the
tenor (
cofinal, or dominant,
corresponding to the "reciting tone" of the
psalm tones)...
-
Archimedean property is
related to the
concept of
cofinality. A set X
contained in an
ordered set F is
cofinal in F if for
every y in F
there is an x in X such...
- an
initial subsequence of the cf(κ)-sequence. Thus its
cofinality is less than the
cofinality of κ and
greater than it at the same time;
which is a contradiction...
-
restriction to
uncountable cofinality is in
order to
avoid trivialities:
Suppose κ {\displaystyle \kappa } has
countable cofinality. Then S ⊆ κ {\displaystyle...
-
mathematical theory,
introduced by
Saharon Shelah (1978), that
deals with the
cofinality of the
ultraproducts of
ordered sets. It
gives strong upper bounds on...
