- set (considered as a
preordered set) is the
initial object of Ord, and the
terminal objects are
precisely the
singleton preordered sets.
There are thus...
- only if x is in the
closure of {y}. We thus
obtain a
preordered set W(X) = <X, ≤>. For
every preordered set X = <X, ≤> we
always have W(T(X)) = X, i.e. the...
- {\displaystyle a,b\in P.} A
preordered class is a
class equipped with a preorder.
Every set is a
class and so
every preordered set is a
preordered class. Preorders...
- In mathematics, a
preordered class is a
class equipped with a preorder. When
dealing with a
class C, it is
possible to
define a
class relation on C as...
- {\displaystyle -1} is not in P . {\displaystyle P.} A
preordered field is a
field equipped with a
preordering P . {\displaystyle P.} Its non-zero
elements P...
-
particularly in
order theory, an
upper bound or
majorant of a
subset S of some
preordered set (K, ≤) is an
element of K that is
greater than or
equal to
every element...
-
arbitrary partially ordered sets or more generally, in
arbitrary preordered sets. For a
preordered set ( X , ≲ ) {\displaystyle (X,\lesssim )} and two elements...
-
reverse preordering is the
reverse of a
preordering, i.e. a list of the
vertices in the
opposite order of
their first visit.
Reverse preordering is not...
- agencies. By
December 2020, more than 10
billion vaccine doses had been
preordered by countries, with
about half of the
doses purchased by high-income countries...
- of S . {\displaystyle S.} Let ( P , ≤ ) {\displaystyle (P,\leq )} be a
preordered set and let S ⊆ P . {\displaystyle S\subseteq P.} An
element g ∈ P {\displaystyle...
