Subsets of Partial Orders
- Cofinal and coinitial set, sometimes also called dense
- Meet-dense set and join-dense set
- Linked set (upwards and downwards)
- Directed set (upwards and downwards)
- centered and σ-centered set
- Net (mathematics)
- Upper set and lower set
- Ideal and filter
- Ultrafilter
Read more about this topic: List Of Order Theory Topics
Famous quotes containing the words partial and/or orders:
“The only coöperation which is commonly possible is exceedingly partial and superficial; and what little true coöperation there is, is as if it were not, being a harmony inaudible to men. If a man has faith, he will coöperate with equal faith everywhere; if he has not faith, he will continue to live like the rest of the world, whatever company he is joined to.”
—Henry David Thoreau (1817–1862)
“The newspapers, especially those in the East, are amazingly superficial and ... a large number of news gatherers are either cynics at heart or are following the orders and the policies of the owners of their papers.”
—Franklin D. Roosevelt (1882–1945)