# Order theory: Trending topics

The following are the current most viewed articles on Wikipedia within Wikipedia's Order theory category. Think of it as a What's Hot list for Order theory. More info »

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Rank Topic Wikipedia views
1 Monotonic function 1,610
2 Interval (mathematics) 1,338
3 Supremum 837
4 Partially ordered set 767
5 Lexicographical order 531
6 Total order 509
7 Ordered pair 482
8 Upper and lower bounds 444
9 Infimum 424
10 Embedding 385
11 Order theory 377
12 Zorn's lemma 278
13 Hasse diagram 269
14 Dedekind cut 258
15 Well-order 237
16 Bounded set 214
17 Filter (mathematics) 148
18 Preorder 148
19 Ultrafilter 133
20 Maximal element 128
21 Kruskal's tree theorem 127
22 Greatest element 115
23 Completeness (order theory) 98
24 Directed set 95
25 Infinite divisibility 91
26 Order topology 89
27 Möbius inversion formula 88
28 Dilworth's theorem 84
29 Causal sets 84
30 Strict weak ordering 81
31 Galois connection 80
32 Trichotomy (mathematics) 77
33 1/3–2/3 conjecture 73
34 Supermodular function 68
35 Closure operator 67
36 Complete partial order 65
37 Complete Boolean algebra 54
38 Join and meet 53
39 Antichain 51
40 Ideal (order theory) 51
41 Partially-ordered group 49
42 Boolean prime ideal theorem 48
43 Duality (order theory) 46
44 Fence (mathematics) 42
45 Incidence algebra 41
46 Order isomorphism 41
47 Scott continuity 39
48 Knaster–Tarski theorem 36
49 Complete Heyting algebra 36
50 Comparability 35
51 Ascending chain condition 34
52 Greedoid 34
53 Atom (order theory) 34
54 Bourbaki–Witt theorem 33
55 Containment order 32
56 Linear continuum 32
57 Cofinality 30
58 Majorization 30
59 Stone duality 29
60 Glossary of order theory 29
61 Monomial order 29
62 Order dimension 29
63 Residuated mapping 29
64 Least fixed point 28
65 Linear extension 28
66 Series-parallel partial order 28
67 Suslin's problem 27
68 Upper set 27
69 Product order 26
70 Comparability graph 26
71 Cofinal (mathematics) 25
72 Compact element 24
73 Specialization (pre)order 22
74 Graded poset 22
75 Shortlex order 22
76 Hausdorff maximal principle 21
77 Well-quasi-ordering 21
78 Tukey's lemma 21
79 Dense order 20
80 Alexandrov topology 19
81 Distributivity (order theory) 17
82 Weak order of permutations 16
83 List of order theory topics 15
84 Quantale 15
85 Kleene fixed-point theorem 15
86 Critical pair 15
87 Bound graph 15
88 Bounded complete poset 13
89 Countable chain condition 13
90 Locally finite poset 13
91 Multitree 13
92 Ranked poset 12
93 Interval order 12
94 Covering relation 12
95 Infinite descending chain 11
96 Scott domain 11
97 Prime (order theory) 11
98 Strong antichain 11
99 Completely distributive lattice 11
100 Limit-preserving function (order theory) 10
101 Upper topology 9
102 Higman's lemma 9
103 Aronszajn line 9
104 Frink ideal 9
105 Order (journal) 9
106 Pasch's theorem 8
107 Kleene–Brouwer order 8
108 Pseudoideal 8
109 Semiorder 8
110 Lubell–Yamamoto–Meshalkin inequality 7
111 Chain complete 7
112 Prewellordering 7
113 Schnyder's theorem 7
114 Sperner property of a partially ordered set 7
115 Order-embedding 6
116 Poset topology 6
117 Countryman line 6
118 Preordered class 6
119 Disjunction property of Wallman 6
120 Fréchet filter less than 5 views
121 Dickson's lemma less than 5 views
122 Order theory topics less than 5 views
123 Schur–Horn theorem less than 5 views

# Encyclopedia

Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering.

## Subcategories

This category has the following 9 subcategories, out of 9 total.

## Pages in category "Order theory"

The following 121 pages are in this category, out of 121 total. This list may not reflect recent changes (learn more).