Question

Verification of basic properties of order topology

score 139 · Answer 1 · 2026-03-26 06:21:12

139

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Verification of basic properties of order topology

Published on 26 Mar 2026 - 6:21

score 231 · Answer 2 · 2026-03-30 13:37:37

231

Views

Does the connexity property imply the reflexive property?

Published on 30 Mar 2026 - 13:37

score 72 · Answer 3 · 2019-11-12 16:42:54

72

Views

Total orderings

Published on 12 Nov 2019 - 16:42

score 101 · Answer 4 · 2019-11-13 00:59:19

101

Views

Determine the order of $Z_8/ \langle [3] \rangle$

Published on 13 Nov 2019 - 0:59

score 157 · Answer 5 · 2026-03-26 01:07:30

157

Views

Smallest lattice containing a poset

Published on 26 Mar 2026 - 1:07

score 597 · Answer 6 · 2019-11-15 00:27:34

597

Views

Any two totally ordered set: one of them isomorphic to the subset of another?

Published on 15 Nov 2019 - 0:27

score 151 · Answer 7 · 2026-03-30 13:36:03

151

Views

Examples of non linear partial order relations

Published on 30 Mar 2026 - 13:36

score 872 · Answer 8 · 2026-03-25 21:22:50

872

Views

In the group $U_{1331}$, determine the number of elements of order 5.

Published on 25 Mar 2026 - 21:22

score 23 · Answer 9 · 2026-03-26 04:16:11

23

Views

Self-duality of the ordered set $(\mathbb R,<)$ together with additional structure

Published on 26 Mar 2026 - 4:16

score 86 · Answer 10 · 2019-11-19 03:59:58

86

Views

Suppose $R$ is a partial order on a set $A$. Prove that every finite, nonempty set $B ⊆ A$ has an $R$-minimal element.

Published on 19 Nov 2019 - 3:59

score 184 · Answer 11 · 2026-03-25 22:04:59

184

Views

If G is a solvable group whose partially ordered set of subgroups satisfies both the ascending and descending chain conditions, then G is finite.

Published on 25 Mar 2026 - 22:04

score 387 · Answer 12 · 2019-11-21 03:58:26

387

Views

Show all maximal chains in a power set of a set

Published on 21 Nov 2019 - 3:58

score 102 · Answer 13 · 2019-11-21 17:53:54

102

Views

Show that P is linearly ordered iff every maximal antichain in P has only one element.

Published on 21 Nov 2019 - 17:53

score 64 · Answer 14 · 2019-11-21 19:12:57

64

Views

Total order on $\mathbb{R}^n$ such that $\{x \in \mathbb{R}^n \mid x < t\}$ is convex for all $t$

Published on 21 Nov 2019 - 19:12

score 81 · Answer 15 · 2019-11-22 13:48:52

81

Views

Minimal linear extension of a poset

Published on 22 Nov 2019 - 13:48

List Question

Verification of basic properties of order topology

Does the connexity property imply the reflexive property?

Total orderings

Determine the order of $Z_8/ \langle [3] \rangle$

Smallest lattice containing a poset

Any two totally ordered set: one of them isomorphic to the subset of another?

Examples of non linear partial order relations

In the group $U_{1331}$, determine the number of elements of order 5.

Self-duality of the ordered set $(\mathbb R,<)$ together with additional structure

Suppose $R$ is a partial order on a set $A$. Prove that every finite, nonempty set $B ⊆ A$ has an $R$-minimal element.

If G is a solvable group whose partially ordered set of subgroups satisfies both the ascending and descending chain conditions, then G is finite.

Show all maximal chains in a power set of a set

Show that P is linearly ordered iff every maximal antichain in P has only one element.

Total order on $\mathbb{R}^n$ such that $\{x \in \mathbb{R}^n \mid x < t\}$ is convex for all $t$

Minimal linear extension of a poset

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