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 264 · Answer 1 · 2026-04-14 19:16:22

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

score 375 · Answer 2 · 2026-04-15 00:26:34

375

Views

Why are ordinals multiplied in reverse order

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score 110 · Answer 3 · 2026-04-14 12:18:07

110

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

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score 87 · Answer 4 · 2026-04-16 17:32:48

87

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

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score 226 · Answer 5 · 2026-04-13 16:46:49

226

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

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score 48 · Answer 6 · 2026-04-17 15:25:09

48

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Trying to find faster growing variants of the successor function

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score 43 · Answer 7 · 2026-04-15 12:59:51

43

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

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score 282 · Answer 8 · 2026-04-16 04:41:31

282

Views

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

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score 341 · Answer 9 · 2026-04-10 00:10:39

341

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Axiom of Choice by Well ordering principle

Published on 10 Apr 2026 - 0:10

score 388 · Answer 10 · 2026-04-14 22:24:50

388

Views

Are Index Sets always well ordered?

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score 121 · Answer 11 · 2026-04-14 09:10:10

121

Views

Strict WQOs and Strict WPOs

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score 361 · Answer 12 · 2026-04-14 15:51:00

361

Views

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score 356 · Answer 13 · 2026-04-09 13:52:35

356

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How is the closed ordinal space compact hausdorff?

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score 210 · Answer 14 · 2026-05-10 14:55:42

210

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Does ATR0 prove existence of uncomputable well-ordering?

Published on 10 May 2026 - 14:55

score 82 · Answer 15 · 2026-04-12 19:08:08

82

Views

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

Published on 12 Apr 2026 - 19:08

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 $\Bbb N$

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