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This is the talk page for discussing improvements to the Ordered set operators article. This is not a forum for general discussion of the article's subject...

interesting. Partially_ordered_set#Formal_definition insists on having the reflexive property, but then in Partially_ordered_set#Strict_and_non-strict_partial_orders...

operator on a set. Personally I think that it is best if the article starts with closure operators on a set. The generalisation to partially ordered sets...

closure operators that are not so language specific as are some consequence operators. So, there probably is a difference when the closure operator is view...

be listed as a 'future operator'. I don't think that any Boeing 737AEW&Cs have been delivered to the countries which have ordered the planes. Nick-D (talk)...

a previous operator who ordered it. For example, Sydney Trains M set has the current operator of Sydney Trains, not CityRail who ordered it. - The present...

here. An ordered set is well-ordered if and only if all its subsets have a minimal element. N {\displaystyle \mathbb {N} } is well-ordered, but Z {\displaystyle...

Anyone else? I'm pretty sure you could define it over any countable well-ordered set. You'd just need a starting point and a successor function. I agree that...

18 September 2005 (UTC) The unique smallest unbounded connected total-ordered set is the real numbers. What does "connected" mean here? -- JanHidders (06:21...

ordered set. Here, a set is open iff it is upwards closed. However, there are other topologies of interest for varied types of partially ordered sets...

of two sets X (for example the points on an x-axis) and Y (for example the points on a y-axis), denoted X × Y, is the set of all possible ordered pairs...

"Ultrafilter (set theory)" is specifically about ultrafilters on a set, that is, ultrafilters on the power set of an underlying set, ordered by subset inclusion;...

The definition of a well ordered set says that every subset of a set has a least element. However, since the relational operator must be anti-symmetric...

is "firm order only", which is align with WP:AIRCRAFT-OPERATORS Do not place potential operators here, only confirmed orders with likelihood of near-term...

Kuratowski's original description of topological spaces with closure operators really apply only to separated spaces? The modern version certainly applies...

In the introduction it says: "The join/meet of a subset of a totally ordered set is simply its maximal/minimal element.", what's the point of that? supremum...

"the usual set-theoretic definition of an ordered pair", but the article Ordered pair offers several ways of defining an ordered pair using set notation...

Thai is a Boeing 787 operator, but this is not a list of operators; it is a list of orders and deliveries. Thai have neither ordered any 787s directly with...

removed MBTA from the list of operators. They have requested bids for the construction of new locomotives, but have not yet ordered any from MPI or any other...

partially ordered set it says "the union (set theory) of the elements of S." AFAIK this has no sense, the union operator is defined for sets, not for elements...