Question

How to show that $C(\bigcup _{i \in I} A_i)$ is a supremum of a subset $\{C(A_i): i \in I \}$ of the lattice $L_C$ of closed subsets?

score 115 · Answer 1 · 2013-04-17 09:41:11

How to show that $C(\bigcup _{i \in I} A_i)$ is a supremum of a subset $\{C(A_i): i \in I \}$ of the lattice $L_C$ of closed subsets?

score 520 · Answer 2 · 2013-04-19 15:58:02

520

Views

The right way to motivate lattice theory in a combinatorics class

Published on 19 Apr 2013 - 15:58

score 114 · Answer 3 · 2013-04-24 12:51:17

114

Views

When is "mod $n$" a congruence relation on the lattice $(\Bbb N,\gcd,\text{lcm})$?

Published on 24 Apr 2013 - 12:51

score 235 · Answer 4 · 2013-04-26 02:28:25

235

Views

Sub-(complete lattice)? - what's the correct terminology?

Published on 26 Apr 2013 - 2:28

score 4.2k · Answer 5 · 2026-03-25 15:43:49

4.2k

Views

Properties of the cone of positive semidefinite matrices

Published on 25 Mar 2026 - 15:43

score 150 · Answer 6 · 2013-05-08 10:00:17

150

Views

$C(X) \cup C(Y) = C(X \cup Y)$ if $C$ is an algebraic closure and $X, Y$ are finite?

Published on 08 May 2013 - 10:00

score 540 · Answer 7 · 2013-05-13 04:35:15

540

Views

Find a lattice with exactly three congruence relations

Published on 13 May 2013 - 4:35

score 191 · Answer 8 · 2013-05-13 08:14:03

191

Views

"Disjoint" elements of a lattice - what's the correct terminology?

Published on 13 May 2013 - 8:14

score 57 · Answer 9 · 2013-05-14 18:50:53

57

Views

Proving equality of sup/inf given a function $r:X \times Y\longrightarrow [0,\infty]$

Published on 14 May 2013 - 18:50

score 218 · Answer 10 · 2026-02-23 04:31:46

218

Views

Can all non-archimedean groups be written as a product of archimedean groups?

Published on 23 Feb 2026 - 4:31

score 591 · Answer 11 · 2013-05-17 03:56:20

591

Views

Proof of Möbius function on subset poset

Published on 17 May 2013 - 3:56

score 393 · Answer 12 · 2013-05-17 13:57:53

393

Views

Looking for example of an order homomorphism that doesn't preserve joins.

Published on 17 May 2013 - 13:57

score 876 · Answer 13 · 2013-05-17 23:46:06

876

Views

Set partition refinement lattice, maximal chain length

Published on 17 May 2013 - 23:46

score 201 · Answer 14 · 2013-05-28 01:10:01

201

Views

Is an orthocomplemented lattice automatically complete?

Published on 28 May 2013 - 1:10

score 368 · Answer 15 · 2013-05-30 06:51:22

368

Views

Lattice ordered group

Published on 30 May 2013 - 6:51

List Question

How to show that $C(\bigcup _{i \in I} A_i)$ is a supremum of a subset $\{C(A_i): i \in I \}$ of the lattice $L_C$ of closed subsets?

The right way to motivate lattice theory in a combinatorics class

When is "mod $n$" a congruence relation on the lattice $(\Bbb N,\gcd,\text{lcm})$?

Sub-(complete lattice)? - what's the correct terminology?

Properties of the cone of positive semidefinite matrices

$C(X) \cup C(Y) = C(X \cup Y)$ if $C$ is an algebraic closure and $X, Y$ are finite?

Find a lattice with exactly three congruence relations

"Disjoint" elements of a lattice - what's the correct terminology?

Proving equality of sup/inf given a function $r:X \times Y\longrightarrow [0,\infty]$

Can all non-archimedean groups be written as a product of archimedean groups?

Proof of Möbius function on subset poset

Looking for example of an order homomorphism that doesn't preserve joins.

Set partition refinement lattice, maximal chain length

Is an orthocomplemented lattice automatically complete?

Lattice ordered group

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