- that is reflexive, antisymmetric, and transitive. A
partially ordered set (
poset for short) is an
ordered pair P = ( X , ≤ ) {\displaystyle P=(X,\leq )}...
- In mathematics, an
incidence poset or
incidence order is a type of
partially ordered set that
represents the
incidence relation between vertices and edges...
- 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...
- of a
poset is an
ordinal number measuring the
complexity of a
poset. A
poset is also
known as a
partially ordered set. The
deviation of a
poset is used...
-
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, the
poset topology ****ociated to a
poset (S, ≤) is the
Alexandrov topology (open sets are
upper sets) on the
poset of
finite chains of...
- In mathematics, a
differential poset is a
partially ordered set (or
poset for short)
satisfying certain local properties. (The
formal definition is given...
- 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...
- Look up
posets in Wiktionary, the free dictionary.
Posets may
refer to:
Posets peak, a mountain,
second highest of the
Pyrenees Partially ordered sets...
-
properties of
posets exist. For example, a
poset is
locally finite if
every closed interval [a, b] in it is finite.
Locally finite posets give rise to...
