-
Cofinal may
refer to:
Cofinal (mathematics), the
property of a
subset B of a
preordered set A such that for
every element of A
there is a "larger element"...
- the
cofinality cf(A) of a
partially ordered set A is the
least of the
cardinalities of the
cofinal subsets of A. This
definition of
cofinality relies...
- of a
preordered set ( A , ≤ ) {\displaystyle (A,\leq )} is said to be
cofinal or
frequent in A {\displaystyle A} if for
every a ∈ A , {\displaystyle...
- 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)...
- 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...
- h ( I ) {\displaystyle h(I)} is
cofinal in A . {\displaystyle A.} The set h ( I ) {\displaystyle h(I)}
being cofinal in A {\displaystyle A}
means that...
-
cannot equal certain special cardinals with
cofinality ℵ0. An
uncountably infinite cardinal κ
having cofinality ℵ0
means that
there is a (countable-length)...
- 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...
-
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...
- the
whole set.
Subsets that are
unbounded in the
whole set. A
subset is
cofinal in the
whole set if and only if it is
unbounded in the
whole set or it...
