Question

Is it possible to deduce a valid sequence given only a set of pairwise orderings?

score 28 · Answer 1 · 2019-06-18 20:41:39

28

Views

Is it possible to deduce a valid sequence given only a set of pairwise orderings?

Published on 18 Jun 2019 - 20:41

score 216 · Answer 2 · 2026-03-27 04:21:01

216

Views

Show $\mathbb{N}^{\mathbb{N}}$ with lexicographic ordering has the least upper bound property (any nonempty bounded subset has a supremum).

Published on 27 Mar 2026 - 4:21

score 188 · Answer 3 · 2019-06-20 15:52:18

188

Views

Ordering Complex Numbers

Published on 20 Jun 2019 - 15:52

score 68 · Answer 4 · 2019-06-22 02:15:56

68

Views

Show the relation "$\leq$" on $\mathbb{R}$ is a total order.

Published on 22 Jun 2019 - 2:15

score 895 · Answer 5 · 2019-06-23 05:44:17

895

Views

Rudin's definition of an ordered set

Published on 23 Jun 2019 - 5:44

score 106 · Answer 6 · 2026-03-27 14:51:40

106

Views

Equivalence relation on a dense linear order to prove there is a rich model

Published on 27 Mar 2026 - 14:51

score 707 · Answer 7 · 2026-03-25 06:06:41

707

Views

How to demonstrate the finite height of a lattice?

Published on 25 Mar 2026 - 6:06

score 41 · Answer 8 · 2026-03-27 19:54:14

41

Views

Find all maximal elements of B. Also find if they exist, the largest element of B, and the least upper bound of B.

Published on 27 Mar 2026 - 19:54

score 41 · Answer 9 · 2026-03-27 16:55:13

41

Views

Endomorphisms of cardinals

Published on 27 Mar 2026 - 16:55

score 119 · Answer 10 · 2026-03-26 02:54:24

119

Views

Strict WQOs and Strict WPOs

Published on 26 Mar 2026 - 2:54

score 51 · Answer 11 · 2026-03-27 19:55:13

51

Views

Which of the following are Hasse Diagrams?

Published on 27 Mar 2026 - 19:55

score 44 · Answer 12 · 2026-03-26 09:47:40

44

Views

Length of the largest chain of a poset ordered by set inclusion.

Published on 26 Mar 2026 - 9:47

score 672 · Answer 13 · 2019-07-04 15:13:57

672

Views

When is the maximal element guaranteed by Zorn's Lemma unique?

Published on 04 Jul 2019 - 15:13

score 359 · Answer 14 · 2026-03-26 02:55:38

359

Views

Defining the Order of the Natural Numbers

Published on 26 Mar 2026 - 2:55

score 367 · Answer 15 · 2026-03-25 06:11:59

367

Views

A "complete" ordered field of ordinals

Published on 25 Mar 2026 - 6:11

List Question

Is it possible to deduce a valid sequence given only a set of pairwise orderings?

Show $\mathbb{N}^{\mathbb{N}}$ with lexicographic ordering has the least upper bound property (any nonempty bounded subset has a supremum).

Ordering Complex Numbers

Show the relation "$\leq$" on $\mathbb{R}$ is a total order.

Rudin's definition of an ordered set

Equivalence relation on a dense linear order to prove there is a rich model

How to demonstrate the finite height of a lattice?

Find all maximal elements of B. Also find if they exist, the largest element of B, and the least upper bound of B.

Endomorphisms of cardinals

Strict WQOs and Strict WPOs

Which of the following are Hasse Diagrams?

Length of the largest chain of a poset ordered by set inclusion.

When is the maximal element guaranteed by Zorn's Lemma unique?

Defining the Order of the Natural Numbers

A "complete" ordered field of ordinals

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