Question

Proving if function is decreasing or increasing, then function is one to one

score 2.1k · Answer 1 · 2016-11-27 19:27:49

2.1k

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Proving if function is decreasing or increasing, then function is one to one

Published on 27 Nov 2016 - 19:27

score 52 · Answer 2 · 2016-11-27 19:38:14

52

Views

Intuitive representation of partial orders

Published on 27 Nov 2016 - 19:38

score 89 · Answer 3 · 2026-03-28 17:38:49

89

Views

Range of an ordinal valued function

Published on 28 Mar 2026 - 17:38

score 30 · Answer 4 · 2016-11-29 02:24:53

30

Views

Partially ordered set defined by two comparisons?

Published on 29 Nov 2016 - 2:24

score 50 · Answer 5 · 2016-11-29 23:10:21

50

Views

Partially ordered sets with specific property

Published on 29 Nov 2016 - 23:10

score 104 · Answer 6 · 2016-11-30 00:40:52

104

Views

An order endomorphism on a complete lattice has a fixed point

Published on 30 Nov 2016 - 0:40

score 190 · Answer 7 · 2026-03-25 07:41:41

190

Views

Universal linear orders without $\omega_1$ or $\omega_1^*$ subsets.

Published on 25 Mar 2026 - 7:41

score 312 · Answer 8 · 2016-12-02 13:29:38

312

Views

A permutation with longest decreasing subsequence of length $L$ can be covered by by $L$ increasing subsequences.

Published on 02 Dec 2016 - 13:29

score 195 · Answer 9 · 2016-12-03 14:16:17

195

Views

order isomorphisms of $[0,1]^n$

Published on 03 Dec 2016 - 14:16

score 57 · Answer 10 · 2026-03-29 19:56:54

57

Views

are all partial orders subsets of some lattice?

Published on 29 Mar 2026 - 19:56

score 835 · Answer 11 · 2016-12-05 13:20:12

835

Views

Exercise: prove the well-ordering principle using Zorn's lemma

Published on 05 Dec 2016 - 13:20

score 217 · Answer 12 · 2016-12-07 08:11:52

217

Views

To show that $\left\{(a,b)\in \mathbb N^2\colon \exists k\in \mathbb N\left(b=2^ka\right)\right\}$ is a partial order

Published on 07 Dec 2016 - 8:11

score 533 · Answer 13 · 2016-12-10 08:25:04

533

Views

Are $\mathbb{Q} $ and $\mathbb{Z}$ order isomorphic?

Published on 10 Dec 2016 - 8:25

score 41 · Answer 14 · 2016-12-11 23:59:49

41

Views

Is there a name for sets $S$ where every $x\in\mathcal{P}(S)$ is totally ordered except $S$ itself?

Published on 11 Dec 2016 - 23:59

score 147 · Answer 15 · 2016-12-12 03:45:58

147

Views

What is the expected height of a random finite partial order?

Published on 12 Dec 2016 - 3:45

List Question

Proving if function is decreasing or increasing, then function is one to one

Intuitive representation of partial orders

Range of an ordinal valued function

Partially ordered set defined by two comparisons?

Partially ordered sets with specific property

An order endomorphism on a complete lattice has a fixed point

Universal linear orders without $\omega_1$ or $\omega_1^*$ subsets.

A permutation with longest decreasing subsequence of length $L$ can be covered by by $L$ increasing subsequences.

order isomorphisms of $[0,1]^n$

are all partial orders subsets of some lattice?

Exercise: prove the well-ordering principle using Zorn's lemma

To show that $\left\{(a,b)\in \mathbb N^2\colon \exists k\in \mathbb N\left(b=2^ka\right)\right\}$ is a partial order

Are $\mathbb{Q} $ and $\mathbb{Z}$ order isomorphic?

Is there a name for sets $S$ where every $x\in\mathcal{P}(S)$ is totally ordered except $S$ itself?

What is the expected height of a random finite partial order?

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