Question

Show that the lexicographic ordering $≤_l$ on $A\times B$ for $A$ well ordered by $≤$ and $B$ well-ordered by $≤'$ is well-ordered.

score 261 · Answer 1 · 2019-04-28 05:08:22

Show that the lexicographic ordering $≤_l$ on $A\times B$ for $A$ well ordered by $≤$ and $B$ well-ordered by $≤'$ is well-ordered.

score 372 · Answer 2 · 2019-05-07 09:09:01

372

Views

Why are ordinals multiplied in reverse order

Published on 07 May 2019 - 9:09

score 108 · Answer 3 · 2019-05-09 13:33:17

108

Views

Cardinal of all well-orders of $\mathbb{N}$

Published on 09 May 2019 - 13:33

score 84 · Answer 4 · 2019-05-12 10:19:02

84

Views

Given a poset with a join such that any pair has a meet, find a total order with a special property.

Published on 12 May 2019 - 10:19

score 224 · Answer 5 · 2019-05-13 16:20:03

224

Views

The cartesian product of a well-ordered set with $[0,1)$ is a linear continuum in dict. order

Published on 13 May 2019 - 16:20

score 43 · Answer 6 · 2019-05-21 18:00:42

43

Views

Trying to find faster growing variants of the successor function

Published on 21 May 2019 - 18:00

score 40 · Answer 7 · 2019-06-03 08:17:07

40

Views

Set of all ordinals injectable into a well-order S is of strictly greater cardinality than S

Published on 03 Jun 2019 - 8:17

score 279 · Answer 8 · 2019-06-04 09:35:12

279

Views

Cardinality of order types in $\mathbb{N}$

Published on 04 Jun 2019 - 9:35

score 338 · Answer 9 · 2019-06-07 20:18:11

338

Views

Axiom of Choice by Well ordering principle

Published on 07 Jun 2019 - 20:18

score 385 · Answer 10 · 2019-06-11 10:34:47

385

Views

Are Index Sets always well ordered?

Published on 11 Jun 2019 - 10:34

score 118 · Answer 11 · 2019-06-30 06:28:57

118

Views

Strict WQOs and Strict WPOs

Published on 30 Jun 2019 - 6:28

score 358 · Answer 12 · 2019-07-05 19:31:12

358

Views

Defining the Order of the Natural Numbers

Published on 05 Jul 2019 - 19:31

score 355 · Answer 13 · 2026-02-23 08:38:33

355

Views

How is the closed ordinal space compact hausdorff?

Published on 23 Feb 2026 - 8:38

score 207 · Answer 14 · 2026-03-25 06:21:06

207

Views

Does ATR0 prove existence of uncomputable well-ordering?

Published on 25 Mar 2026 - 6:21

score 80 · Answer 15 · 2019-07-16 01:09:38

80

Views

I don't understand how this set can be contained in $\Bbb N$

Published on 16 Jul 2019 - 1:09

List Question

Show that the lexicographic ordering $≤_l$ on $A\times B$ for $A$ well ordered by $≤$ and $B$ well-ordered by $≤'$ is well-ordered.

Why are ordinals multiplied in reverse order

Cardinal of all well-orders of $\mathbb{N}$

Given a poset with a join such that any pair has a meet, find a total order with a special property.

The cartesian product of a well-ordered set with $[0,1)$ is a linear continuum in dict. order

Trying to find faster growing variants of the successor function

Set of all ordinals injectable into a well-order S is of strictly greater cardinality than S

Cardinality of order types in $\mathbb{N}$

Axiom of Choice by Well ordering principle

Are Index Sets always well ordered?

Strict WQOs and Strict WPOs

Defining the Order of the Natural Numbers

How is the closed ordinal space compact hausdorff?

Does ATR0 prove existence of uncomputable well-ordering?

I don't understand how this set can be contained in $\Bbb N$

Trending Questions

Popular # Hahtags

Popular Questions