Question

Measurability of the set of maximal elements of a poset

score 36 · Answer 1 · 2023-08-07 15:57:06

36

Views

Measurability of the set of maximal elements of a poset

Published on 07 Aug 2023 - 15:57

score 54 · Answer 2 · 2023-08-09 19:11:16

54

Views

If $A$ is countably infinite and $R$ is a partial order on $A$, then $R$ can be extended to a total order

Published on 09 Aug 2023 - 19:11

score 58 · Answer 3 · 2023-08-10 11:45:00

58

Views

Partial ordering and joining

Published on 10 Aug 2023 - 11:45

score 74 · Answer 4 · 2026-03-31 16:15:13

74

Views

Prove or disprove: $S_{20}$ has an element of order 80.

Published on 31 Mar 2026 - 16:15

score 39 · Answer 5 · 2026-03-29 12:31:58

39

Views

The set of predecessors of a node in a tree is finite?

Published on 29 Mar 2026 - 12:31

score 28 · Answer 6 · 2023-08-11 17:16:08

28

Views

If $R$ is a partial order and $a,b$ are incomparable, then the transitive closure of $R\cup\{(a,b)\}$ is antisymmetric

Published on 11 Aug 2023 - 17:16

score 33 · Answer 7 · 2023-08-11 21:06:54

33

Views

Is there a name for the concept of a "co-lower-bound"?

Published on 11 Aug 2023 - 21:06

score 56 · Answer 8 · 2026-03-27 14:58:56

56

Views

Distinguishing partitions of a set

Published on 27 Mar 2026 - 14:58

score 24 · Answer 9 · 2026-03-27 16:47:38

24

Views

Showing that a union of subset partition spans a whole set

Published on 27 Mar 2026 - 16:47

score 52 · Answer 10 · 2023-08-15 20:32:42

52

Views

Join irreducible elements in DCC lattices

Published on 15 Aug 2023 - 20:32

score 32 · Answer 11 · 2023-08-16 15:40:52

32

Views

Partial ordering: is increasing pair equivalent with increasing subsequence

Published on 16 Aug 2023 - 15:40

score 28 · Answer 12 · 2026-03-28 14:00:18

28

Views

Schwartz Lemma $f(0)=0$ - meaning on $Ord_{z_0}[f(z)]$, order $1,2,3,...$?

Published on 28 Mar 2026 - 14:00

score 104 · Answer 13 · 2023-08-17 17:27:01

104

Views

Is this proof of the fact that any open set in an LOTS is a disjoint union of open intervals, correct?

Published on 17 Aug 2023 - 17:27

score 68 · Answer 14 · 2023-08-18 09:40:37

68

Views

Multiple maximal elements and Zorn's Lemma

Published on 18 Aug 2023 - 9:40

score 53 · Answer 15 · 2026-03-30 09:41:52

53

Views

A special topology compatible with partial orders

Published on 30 Mar 2026 - 9:41

List Question

Measurability of the set of maximal elements of a poset

If $A$ is countably infinite and $R$ is a partial order on $A$, then $R$ can be extended to a total order

Partial ordering and joining

Prove or disprove: $S_{20}$ has an element of order 80.

The set of predecessors of a node in a tree is finite?

If $R$ is a partial order and $a,b$ are incomparable, then the transitive closure of $R\cup\{(a,b)\}$ is antisymmetric

Is there a name for the concept of a "co-lower-bound"?

Distinguishing partitions of a set

Showing that a union of subset partition spans a whole set

Join irreducible elements in DCC lattices

Partial ordering: is increasing pair equivalent with increasing subsequence

Schwartz Lemma $f(0)=0$ - meaning on $Ord_{z_0}[f(z)]$, order $1,2,3,...$?

Is this proof of the fact that any open set in an LOTS is a disjoint union of open intervals, correct?

Multiple maximal elements and Zorn's Lemma

A special topology compatible with partial orders

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