Question

A total preorder on a set $S$ can be expressed as a total order on a partition of $S$

score 87 · Answer 1 · 2023-02-16 04:37:20

87

Views

A total preorder on a set $S$ can be expressed as a total order on a partition of $S$

Published on 16 Feb 2023 - 4:37

score 120 · Answer 2 · 2023-02-16 11:29:19

120

Views

A linear order with sequences of length $\omega_0$ but without sequences of length $\omega_1$.

Published on 16 Feb 2023 - 11:29

score 60 · Answer 3 · 2023-02-16 22:11:28

60

Views

Determine the supremum

Published on 16 Feb 2023 - 22:11

score 177 · Answer 4 · 2023-02-21 19:44:23

177

Views

Can we always define a strict total order relation on a set?

Published on 21 Feb 2023 - 19:44

score 71 · Answer 5 · 2023-02-22 13:36:31

71

Views

Lattice in order theory vs lattice as set of integer linear combinations

Published on 22 Feb 2023 - 13:36

score 70 · Answer 6 · 2026-03-27 23:32:05

70

Views

Sequence of increasing rationals in $[0,1]$ diverges and converges

Published on 27 Mar 2026 - 23:32

score 58 · Answer 7 · 2026-03-30 04:39:42

58

Views

Embeddings of finite boolean algebras

Published on 30 Mar 2026 - 4:39

score 43 · Answer 8 · 2026-03-30 04:38:32

43

Views

Stone's criterion for distributive lattices

Published on 30 Mar 2026 - 4:38

score 182 · Answer 9 · 2026-03-29 03:45:11

182

Views

Exercise 5.11 - Ch.6 in "Introduction to Set Theory" by Hrbacek and Jech

Published on 29 Mar 2026 - 3:45

score 50 · Answer 10 · 2026-03-30 04:41:56

50

Views

Dedekind MacNeille completion. Definition of supremum as $\left(\bigcup M\right)^{ul}$. Counterexample for definition as $\bigcup M$?

Published on 30 Mar 2026 - 4:41

score 113 · Answer 11 · 2023-02-26 17:07:09

113

Views

Are cover diagrams and Hasse diagrams the same thing?

Published on 26 Feb 2023 - 17:07

score 49 · Answer 12 · 2023-02-26 23:11:50

49

Views

How to encode a linear ordering of elements efficiently?

Published on 26 Feb 2023 - 23:11

score 65 · Answer 13 · 2026-03-26 14:20:41

65

Views

A name for 'lax' colimit for poset-valued functors?

Published on 26 Mar 2026 - 14:20

score 90 · Answer 14 · 2026-02-23 08:36:56

90

Views

A set with a topology and a partial ordering question?

Published on 23 Feb 2026 - 8:36

score 39 · Answer 15 · 2023-03-01 12:24:19

39

Views

How to strengthen a graded poset so that items of higher rank always preferred to items of lower rank?

Published on 01 Mar 2023 - 12:24

List Question

A total preorder on a set $S$ can be expressed as a total order on a partition of $S$

A linear order with sequences of length $\omega_0$ but without sequences of length $\omega_1$.

Determine the supremum

Can we always define a strict total order relation on a set?

Lattice in order theory vs lattice as set of integer linear combinations

Sequence of increasing rationals in $[0,1]$ diverges and converges

Embeddings of finite boolean algebras

Stone's criterion for distributive lattices

Exercise 5.11 - Ch.6 in "Introduction to Set Theory" by Hrbacek and Jech

Dedekind MacNeille completion. Definition of supremum as $\left(\bigcup M\right)^{ul}$. Counterexample for definition as $\bigcup M$?

Are cover diagrams and Hasse diagrams the same thing?

How to encode a linear ordering of elements efficiently?

A name for 'lax' colimit for poset-valued functors?

A set with a topology and a partial ordering question?

How to strengthen a graded poset so that items of higher rank always preferred to items of lower rank?

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