Question

Understanding upper set preorders

score 104 · Answer 1 · 2026-04-15 17:59:17

104

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Understanding upper set preorders

Published on 15 Apr 2026 - 17:59

score 90 · Answer 2 · 2026-04-15 18:07:46

90

Views

Problem 9 page 92 from A book of set theory by Pinter

Published on 15 Apr 2026 - 18:07

score 624 · Answer 3 · 2026-04-15 11:36:15

624

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Suprema and infima on a partially ordered set

Published on 15 Apr 2026 - 11:36

score 77 · Answer 4 · 2026-04-15 18:11:12

77

Views

Reflexivity, symmetry, and transitivity of $S=\{(X,Y)\in\mathscr P(A)\times \mathscr P(A)|\forall x\in X\exists y\in Y(xRy)\}$

Published on 15 Apr 2026 - 18:11

score 54 · Answer 5 · 2026-04-15 07:34:20

54

Views

Zero topological dimension of ordered subspaces

Published on 15 Apr 2026 - 7:34

score 214 · Answer 6 · 2026-04-13 19:32:46

214

Views

Which complete lattices are isomorphic to a product of irreducible lattices?

Published on 13 Apr 2026 - 19:32

score 105 · Answer 7 · 2026-04-13 18:55:55

105

Views

Ordered set has a maximum and every subset has infimum $\implies$ every subset has supremum

Published on 13 Apr 2026 - 18:55

score 225 · Answer 8 · 2026-04-15 17:59:42

225

Views

Total weak order vs total order

Published on 15 Apr 2026 - 17:59

score 137 · Answer 9 · 2026-04-12 05:27:12

137

Views

Interpreting monadic theory of reals in the monadic theory of linear order.

Published on 12 Apr 2026 - 5:27

score 85 · Answer 10 · 2026-04-15 18:08:59

85

Views

Proof of: For all linearly ordered sets $X$, if there is a bijection from $n∈ℕ$ to $X$, then $n$ and $X$ are order-isomorphic

Published on 15 Apr 2026 - 18:08

score 47 · Answer 11 · 2026-04-15 18:10:33

47

Views

Inverse image; cut of domain of an increasing function

Published on 15 Apr 2026 - 18:10

score 82 · Answer 12 · 2026-04-15 18:02:22

82

Views

Suppose $C \subseteq B$ and $B \subseteq A$; prove that $ \sup_{A} C \leq \sup_{B}C$

Published on 15 Apr 2026 - 18:02

score 124 · Answer 13 · 2026-04-13 05:34:13

124

Views

Mapping real coordinate space to hyperreal numbers while preserving "lexicographic order"

Published on 13 Apr 2026 - 5:34

score 69 · Answer 14 · 2026-04-15 18:07:46

69

Views

If $a\in\mathbb{R}$ how can $a$ have a successor?

Published on 15 Apr 2026 - 18:07

score 50 · Answer 15 · 2026-04-15 17:59:25

50

Views

Spaces of Orders?

Published on 15 Apr 2026 - 17:59

List Question

Understanding upper set preorders

Problem 9 page 92 from A book of set theory by Pinter

Suprema and infima on a partially ordered set

Reflexivity, symmetry, and transitivity of $S=\{(X,Y)\in\mathscr P(A)\times \mathscr P(A)|\forall x\in X\exists y\in Y(xRy)\}$

Zero topological dimension of ordered subspaces

Which complete lattices are isomorphic to a product of irreducible lattices?

Ordered set has a maximum and every subset has infimum $\implies$ every subset has supremum

Total weak order vs total order

Interpreting monadic theory of reals in the monadic theory of linear order.

Proof of: For all linearly ordered sets $X$, if there is a bijection from $n∈ℕ$ to $X$, then $n$ and $X$ are order-isomorphic

Inverse image; cut of domain of an increasing function

Suppose $C \subseteq B$ and $B \subseteq A$; prove that $ \sup_{A} C \leq \sup_{B}C$

Mapping real coordinate space to hyperreal numbers while preserving "lexicographic order"

If $a\in\mathbb{R}$ how can $a$ have a successor?

Spaces of Orders?

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