List questions from order-theory

Published on 13 Jul 2013 - 17:24

968

Views

If $(W,<)$ is a well-ordered set and $f : W \rightarrow W$ is an increasing function, then $f(x) ≥ x$ for each $x \in W$

Published on 27 Mar 2026 - 2:36

449

Views

Dense sets and Suslin Lines

Published on 26 Mar 2026 - 18:56

47

Views

Interval in Product Space

Published on 22 Jul 2013 - 4:32

484

Views

Prove that $\succeq = \bigcap L \left(\succeq \right)$ - understanding elementary order theory

Published on 24 Jul 2013 - 10:07

82

Views

Order structure of asymptotics

Published on 25 Jul 2013 - 16:00

75

Views

How can we define "trivially orthogonal" groups?

Published on 01 Apr 2026 - 5:20

942

Views

Does a compact connected complete linear order have the fixed point property?

Published on 03 Apr 2026 - 7:44

328

Views

Completion of a linear order that is a dense subspace of a compact space.

Published on 23 Feb 2026 - 17:18

335

Views

What kind of category is a cyclically ordered set?

Published on 30 Mar 2026 - 0:04

1k

Views

Every subset of a poset has an inf implies every subset has a sup

Published on 31 Jul 2013 - 9:27

335

Views

Partially ordered set Question : $A=\{1,2,3,4,5,6\}$ ,$R =\mathcal P(A) \times \mathcal P(A) $

Published on 01 Aug 2013 - 7:55

446

Views

number of antichains and number of downsets

Published on 02 Aug 2013 - 1:57

98

Views

Partially ordered set Question : $R$ relation on $\mathbb {N}$ iff $n\in \{1,5,5^{2},\dots,5^{k}\}$ , $x=n\cdot y$

Published on 02 Aug 2013 - 10:32

573

Views

The preorder of countable order types

Published on 03 Apr 2026 - 1:52

List Question

Show that a relation is a partial ordering

If $(W,<)$ is a well-ordered set and $f : W \rightarrow W$ is an increasing function, then $f(x) ≥ x$ for each $x \in W$

Dense sets and Suslin Lines

Interval in Product Space

Prove that $\succeq = \bigcap L \left(\succeq \right)$ - understanding elementary order theory

Order structure of asymptotics

How can we define "trivially orthogonal" groups?

Does a compact connected complete linear order have the fixed point property?

Completion of a linear order that is a dense subspace of a compact space.

What kind of category is a cyclically ordered set?

Every subset of a poset has an inf implies every subset has a sup

Partially ordered set Question : $A=\{1,2,3,4,5,6\}$ ,$R =\mathcal P(A) \times \mathcal P(A) $

number of antichains and number of downsets

Partially ordered set Question : $R$ relation on $\mathbb {N}$ iff $n\in \{1,5,5^{2},\dots,5^{k}\}$ , $x=n\cdot y$

The preorder of countable order types

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