Question

For any $n \in \mathbb{N}$ there exists a minimal element in the set $ \{ x\in \mathbb{N}\mid n< x \}$

score 117 · Answer 1 · 2026-03-28 10:27:18

117

Views

For any $n \in \mathbb{N}$ there exists a minimal element in the set $ \{ x\in \mathbb{N}\mid n< x \}$

Published on 28 Mar 2026 - 10:27

score 211 · Answer 2 · 2014-09-10 05:19:31

211

Views

Is $\{1,2\}\times [0,1)$ a linear continuum in the dictionary order?

Published on 10 Sep 2014 - 5:19

score 148 · Answer 3 · 2026-03-27 13:03:24

If a linearly ordered set $L$ has the property that every order-preserving injection $L \rightarrow L$ is expansive, is $L$ necessarily well-ordered?

score 211 · Answer 4 · 2026-03-28 11:53:03

211

Views

Alternative definition for order-embedding

Published on 28 Mar 2026 - 11:53

score 24 · Answer 5 · 2014-09-14 16:39:20

24

Views

Polynomial time algorithm for determining if there exists an ordering of subsets

Published on 14 Sep 2014 - 16:39

score 1.1k · Answer 6 · 2014-09-15 14:02:29

1.1k

Views

What is the supremum of {36,72} in this Hasse-diagram?

Published on 15 Sep 2014 - 14:02

score 343 · Answer 7 · 2014-09-15 23:09:45

343

Views

Extend an acyclic relation to an ordering

Published on 15 Sep 2014 - 23:09

score 326 · Answer 8 · 2014-09-16 08:16:06

326

Views

In the context of posets, is the notion of "compatible" elements a standard notion?

Published on 16 Sep 2014 - 8:16

score 659 · Answer 9 · 2026-03-28 15:56:08

659

Views

On the definition of Scott Continuity

Published on 28 Mar 2026 - 15:56

score 186 · Answer 10 · 2014-09-17 05:07:55

186

Views

Any total order on $X$ is maximal element

Published on 17 Sep 2014 - 5:07

score 44 · Answer 11 · 2014-09-18 14:33:38

44

Views

Order between probability measures: sets full below

Published on 18 Sep 2014 - 14:33

score 341 · Answer 12 · 2014-09-23 18:51:40

341

Views

Can someone give me some clue on how to show that rationals are well ordered? Thank you in advance.

Published on 23 Sep 2014 - 18:51

score 37 · Answer 13 · 2014-09-24 18:16:03

37

Views

For real number, Is it true that $sup\{x_i + y_i: i\in I\}=sup\{x_i:i\in I\}+sup\{x_i:i\in I\}$?

Published on 24 Sep 2014 - 18:16

score 1.3k · Answer 14 · 2026-03-26 03:18:38

1.3k

Views

Total ordering on the free group

Published on 26 Mar 2026 - 3:18

score 79 · Answer 15 · 2014-09-26 02:00:24

79

Views

Non-continuous Poset without Interpolation property.

Published on 26 Sep 2014 - 2:00

List Question

For any $n \in \mathbb{N}$ there exists a minimal element in the set $ \{ x\in \mathbb{N}\mid n< x \}$

Is $\{1,2\}\times [0,1)$ a linear continuum in the dictionary order?

If a linearly ordered set $L$ has the property that every order-preserving injection $L \rightarrow L$ is expansive, is $L$ necessarily well-ordered?

Alternative definition for order-embedding

Polynomial time algorithm for determining if there exists an ordering of subsets

What is the supremum of {36,72} in this Hasse-diagram?

Extend an acyclic relation to an ordering

In the context of posets, is the notion of "compatible" elements a standard notion?

On the definition of Scott Continuity

Any total order on $X$ is maximal element

Order between probability measures: sets full below

Can someone give me some clue on how to show that rationals are well ordered? Thank you in advance.

For real number, Is it true that $sup\{x_i + y_i: i\in I\}=sup\{x_i:i\in I\}+sup\{x_i:i\in I\}$?

Total ordering on the free group

Non-continuous Poset without Interpolation property.

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