Question

Counter example for associativity of partially ordered sets

score 154 · Answer 1 · 2026-04-09 17:57:02

154

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Counter example for associativity of partially ordered sets

Published on 09 Apr 2026 - 17:57

score 100 · Answer 2 · 2026-04-13 00:30:08

100

Views

Prove that a singleton simply ordered set has a largest element. (James R. Munkres "Topology 2nd Edition")

Published on 13 Apr 2026 - 0:30

score 65 · Answer 3 · 2026-04-15 03:34:24

65

Views

Uniqueness of the True cofinality

Published on 15 Apr 2026 - 3:34

score 46 · Answer 4 · 2026-04-13 03:26:24

46

Views

What is a function called that maps the minimum of the domain to the minimum of the codomain?

Published on 13 Apr 2026 - 3:26

score 132 · Answer 5 · 2026-04-15 16:11:43

132

Views

Partial order over a set of matrices

Published on 15 Apr 2026 - 16:11

score 98 · Answer 6 · 2026-04-09 17:31:48

98

Views

An ambiguous statement from Halmos' Naive Set Theory

Published on 09 Apr 2026 - 17:31

score 58 · Answer 7 · 2026-04-12 06:10:44

58

Views

Function classes on posets, which are closed under certain operations

Published on 12 Apr 2026 - 6:10

score 79 · Answer 8 · 2026-04-13 12:32:31

79

Views

How can I introduce the notion of order in a point-set topology?

Published on 13 Apr 2026 - 12:32

score 76 · Answer 9 · 2026-04-17 06:34:56

76

Views

Suppose $L=\{((a,b),(a',b'))\in(A\times B)\times(A\times B)|aRa' \land(a=a'\rightarrow bSb'\}$. Show that $L$ is a partial order on $A\times B$.

Published on 17 Apr 2026 - 6:34

score 161 · Answer 10 · 2026-04-14 20:33:47

161

Views

Proving partial order

Published on 14 Apr 2026 - 20:33

score 117 · Answer 11 · 2026-04-14 09:27:43

117

Views

Prove that if $x$ is the greatest lower bound of $U$, then $x$ is the least upper bound of $B$.

Published on 14 Apr 2026 - 9:27

score 361 · Answer 12 · 2026-04-14 16:53:37

361

Views

If $A_1, A_2, ...$ is a list of countable sets, then$A_1 \cup A_2 \cup A_3 ...$ is also countable?

Published on 14 Apr 2026 - 16:53

score 25 · Answer 13 · 2026-04-08 21:49:42

25

Views

Is the power set ordered by cardinalities well ordered?

Published on 08 Apr 2026 - 21:49

score 69 · Answer 14 · 2026-04-12 00:14:23

69

Views

Method of Dedekind cut is applicable for some other ordered subsets?

Published on 12 Apr 2026 - 0:14

score 44 · Answer 15 · 2026-04-12 01:26:13

44

Views

How to best show that $f(a)$ is the greatest element of $f[A]$

Published on 12 Apr 2026 - 1:26

List Question

Counter example for associativity of partially ordered sets

Prove that a singleton simply ordered set has a largest element. (James R. Munkres "Topology 2nd Edition")

Uniqueness of the True cofinality

What is a function called that maps the minimum of the domain to the minimum of the codomain?

Partial order over a set of matrices

An ambiguous statement from Halmos' Naive Set Theory

Function classes on posets, which are closed under certain operations

How can I introduce the notion of order in a point-set topology?

Suppose $L=\{((a,b),(a',b'))\in(A\times B)\times(A\times B)|aRa' \land(a=a'\rightarrow bSb'\}$. Show that $L$ is a partial order on $A\times B$.

Proving partial order

Prove that if $x$ is the greatest lower bound of $U$, then $x$ is the least upper bound of $B$.

If $A_1, A_2, ...$ is a list of countable sets, then$A_1 \cup A_2 \cup A_3 ...$ is also countable?

Is the power set ordered by cardinalities well ordered?

Method of Dedekind cut is applicable for some other ordered subsets?

How to best show that $f(a)$ is the greatest element of $f[A]$

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