en.wikipedia.org/wiki/Directed_set

In mathematics, a directed set is a nonempty set A together with a reflexive and
transitive binary relation ≤ (that is, a preorder), with the additional property that ...

ncatlab.org/nlab/show/direction

Jun 22, 2014 ... A directed set is a set equipped with a direction. A directed poset is a directed set
whose preorder is a partial order (so directed proset might be ...

mathworld.wolfram.com/DirectedSet.html

Directed Set. A set S together with a relation >= which is both transitive and
reflexive such that for any two elements a,b in S , there exists another element c
in S ...

www.ams.org/tran/1985-290-02/S0002-9947-1985-0792822-9/S0002-9947-1985-0792822-9.pdf

directed sets of size S,, but that there exist many cofinal types of directed sets of ...
directed sets D and E are cofinally similar if there is a partially ordered set C in.

math.stackexchange.com/questions/519576/supremum-of-directed-set-is-contained-or-not

Oct 8, 2013 ... But I have also seen sets such as [ o , a ) used as examples of directed sets that
do not contain their supremum. My sense is that finite directed ...

encyclopedia2.thefreedictionary.com/Upward-directed set

Looking for Upward-directed set? Find out information about Upward-directed set
. A partially ordered set with the property that for every pair of elements a,b in ...

www.encyclopediaofmath.org/index.php/Directed_set

Oct 14, 2014 ... A set A equipped with a directed order. A set A with partial order ≤ is called
upwards (respectively, downwards) directed if ≤ (respectively, the ...

www.ask.com/youtube?q=Directed set&v=uehFkCa691I

Jan 22, 2016 ... Directed set In mathematics, a directed set (or a directed preorder or a filtered set
) is a nonempty set A together with a reflexive and transitive ...

www.jstor.org/stable/2000309

directed sets of size Sl, but that there exist many cofinal types of directed sets of ...
directed sets D and E are cofinally similar if there is a partially ordered set C in.

en.wikiversity.org/wiki/Topology/Lesson_5

May 29, 2015 ... Directed Sets[edit]. Directed sets are very useful in topology. We will explore a
couple of their uses in this lesson.