- that is reflexive, antisymmetric, and transitive. A
partially ordered set (
poset for short) is an
ordered pair P = ( X , ≤ ) {\displaystyle P=(X,\leq )}...
-
Eulerian poset is a
graded poset in
which every nontrivial interval has the same
number of
elements of even rank as of odd rank. An
Eulerian poset which...
- In mathematics, the
poset topology ****ociated to a
poset (S, ≤) is the
Alexandrov topology (open sets are
upper sets) on the
poset of
finite chains of...
- mathematics, in the
branch of combinatorics, a
graded poset is a partially-ordered set (
poset) P
equipped with a rank
function ρ from P to the set N...
-
distributivity laws of
order theory preservation properties of
functions between posets. In the following,
partial orders will
usually just be
denoted by their...
- In mathematics, a
differential poset is a
partially ordered set (or
poset for short)
satisfying certain local properties. (The
formal definition is given...
- Look up
posets in Wiktionary, the free dictionary.
Posets may
refer to:
Posets peak, a mountain,
second highest of the
Pyrenees Partially ordered sets...
- a
ranked poset is a
partially ordered set in
which one of the
following (non-equivalent)
conditions hold: it is a
graded poset, or a
poset with the property...
- that a
subset S of a
bounded poset P with as
order the
restriction of the
order on P is not
necessarily a
bounded poset. A
subset S of Rn is
bounded with...
- I has a
supremum sup I and c ≤ sup I then c is an
element of I. If the
poset P
additionally is a join-semilattice (i.e., if it has
binary suprema) then...
