Question

Different versions of Order Axioms for the Real Numbers

score 77 · Answer 1 · 2026-04-16 19:55:11

77

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Different versions of Order Axioms for the Real Numbers

Published on 16 Apr 2026 - 19:55

score 86 · Answer 2 · 2026-04-11 20:25:04

86

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Every nonempty subset of $\mathbb{Z}$ that is bounded above has a largest element. (Munkres "Topology 2nd Edition" Exercise 9(a) section 4)

Published on 11 Apr 2026 - 20:25

score 82 · Answer 3 · 2026-04-15 08:50:45

82

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Let $R$ be a total order. Is $R^{-1}$ a total order?

Published on 15 Apr 2026 - 8:50

score 67 · Answer 4 · 2026-04-14 05:38:10

67

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G is an abelian group

Published on 14 Apr 2026 - 5:38

score 75 · Answer 5 · 2026-04-16 03:43:13

75

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Cardinality of chains of functions with countable domain, binary codomain, with the pointwise order

Published on 16 Apr 2026 - 3:43

score 64 · Answer 6 · 2026-04-17 15:39:47

In a poset, does or doesn't $\ a\sqsubseteq c\ \&\ b\sqsubseteq c\ \ .\mbox{always}\Longrightarrow.\ \ a\sqcup b\sqsubseteq c\ $?

score 59 · Answer 7 · 2026-04-15 04:57:28

59

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Divisibility in totally ordered, dense, groups without commutativity

Published on 15 Apr 2026 - 4:57

score 247 · Answer 8 · 2026-04-10 19:06:39

247

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Is almost every definable number uncomputable?

Published on 10 Apr 2026 - 19:06

score 142 · Answer 9 · 2026-04-10 04:54:13

142

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Proof of fundamental theorem of affine geometry using fund. thm. of projective geometry

Published on 10 Apr 2026 - 4:54

score 46 · Answer 10 · 2026-04-13 15:39:43

46

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Squares under Lowner order

Published on 13 Apr 2026 - 15:39

score 95 · Answer 11 · 2026-04-08 23:32:32

95

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Is $\nless$ standard notation in Mathematics

Published on 08 Apr 2026 - 23:32

score 666 · Answer 12 · 2026-04-11 09:07:18

666

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Definitions of maximal/minimal/least and smallest elements for strict partial orders

Published on 11 Apr 2026 - 9:07

score 112 · Answer 13 · 2026-04-11 20:43:59

112

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Categorical Characterization of Ordinal Products/Exponentiation

Published on 11 Apr 2026 - 20:43

score 703 · Answer 14 · 2026-04-14 12:38:37

703

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Definition of the largest or smallest set that has some property

Published on 14 Apr 2026 - 12:38

score 81 · Answer 15 · 2026-04-15 19:39:24

81

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$P$ poset: $ J \subseteq P$ is join-dense iff $\forall x \in P$, $\,\,\, x = (\downarrow x \cap J) $

Published on 15 Apr 2026 - 19:39

List Question

Different versions of Order Axioms for the Real Numbers

Every nonempty subset of $\mathbb{Z}$ that is bounded above has a largest element. (Munkres "Topology 2nd Edition" Exercise 9(a) section 4)

Let $R$ be a total order. Is $R^{-1}$ a total order?

G is an abelian group

Cardinality of chains of functions with countable domain, binary codomain, with the pointwise order

In a poset, does or doesn't $\ a\sqsubseteq c\ \&\ b\sqsubseteq c\ \ .\mbox{always}\Longrightarrow.\ \ a\sqcup b\sqsubseteq c\ $?

Divisibility in totally ordered, dense, groups without commutativity

Is almost every definable number uncomputable?

Proof of fundamental theorem of affine geometry using fund. thm. of projective geometry

Squares under Lowner order

Is $\nless$ standard notation in Mathematics

Definitions of maximal/minimal/least and smallest elements for strict partial orders

Categorical Characterization of Ordinal Products/Exponentiation

Definition of the largest or smallest set that has some property

$P$ poset: $ J \subseteq P$ is join-dense iff $\forall x \in P$, $\,\,\, x = (\downarrow x \cap J) $

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