List questions from order-theory

Published on 31 Mar 2026 - 13:33

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Comparison of elements in a lattice

Published on 29 Mar 2026 - 8:13

83

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Are comparability graphs closed under vertex identification?

Published on 30 Mar 2020 - 4:46

58

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How to prove, with both $a$ and $b \neq 0$ : if $-1\lt b \lt 1$ then $|\frac ab | \gt |a|$.

Published on 30 Mar 2026 - 4:41

199

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Empty projective limit of finite sets

Published on 26 Mar 2026 - 1:26

148

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Can a well ordering well order itself?

Published on 26 Mar 2026 - 9:38

38

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On subsets of $\mathbb N^2$ with elements not comparable w.r.t. componentwise order

Published on 25 Mar 2026 - 11:01

415

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Is the set $\{\{1\},\{2\},\{3\}\}$ a partially ordered set with respect to the $⊆$ relation?

Published on 02 Apr 2020 - 10:37

292

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is $(ℤ, <)$ a total order?

Published on 29 Mar 2026 - 8:14

70

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Characterizing $(\mathbb{Z}, <)$ up to isomorphism

Published on 29 Mar 2026 - 22:34

198

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Yoneda Lemma for Preorders

Published on 03 Apr 2020 - 18:53

111

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Given infinitely many finite maximal chains in a poset P, construct an infinite antichain.

Published on 04 Apr 2020 - 1:05

1.1k

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If a tournament graph has no cycles of length $3$, prove that it is a partial order.

Published on 25 Mar 2026 - 20:36

90

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There is no surjective, isotone map from $P$ to $<Dn(P), \subseteq>$

Published on 28 Mar 2026 - 17:25

139

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Infinite meet semilattice with maximal element $\hat{1}$ that is not a lattice

Published on 29 Mar 2026 - 8:21

List Question

An inverse of the transitive closure

Comparison of elements in a lattice

Are comparability graphs closed under vertex identification?

How to prove, with both $a$ and $b \neq 0$ : if $-1\lt b \lt 1$ then $|\frac ab | \gt |a|$.

Empty projective limit of finite sets

Can a well ordering well order itself?

On subsets of $\mathbb N^2$ with elements not comparable w.r.t. componentwise order

Is the set $\{\{1\},\{2\},\{3\}\}$ a partially ordered set with respect to the $⊆$ relation?

is $(ℤ, <)$ a total order?

Characterizing $(\mathbb{Z}, <)$ up to isomorphism

Yoneda Lemma for Preorders

Given infinitely many finite maximal chains in a poset P, construct an infinite antichain.

If a tournament graph has no cycles of length $3$, prove that it is a partial order.

There is no surjective, isotone map from $P$ to $<Dn(P), \subseteq>$

Infinite meet semilattice with maximal element $\hat{1}$ that is not a lattice

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