Question

Can you lay $ \aleph_1$ many people on a railway track?

score 481 · Answer 1 · 2018-04-26 15:02:21

481

Views

Can you lay $ \aleph_1$ many people on a railway track?

Published on 26 Apr 2018 - 15:02

score 590 · Answer 2 · 2026-03-25 04:36:01

590

Views

Ordinal vs cardinal dimension

Published on 25 Mar 2026 - 4:36

score 104 · Answer 3 · 2018-05-02 15:34:57

104

Views

Modifying a sequence of ordinals to be increasing and continuous. (To find names of small rank.)

Published on 02 May 2018 - 15:34

score 126 · Answer 4 · 2018-05-02 23:42:13

126

Views

When does $\omega \cdot \alpha = \alpha$?

Published on 02 May 2018 - 23:42

score 92 · Answer 5 · 2018-05-03 12:47:46

92

Views

Given a Baire one function, is it true that its restriction to special subset continuous?

Published on 03 May 2018 - 12:47

score 264 · Answer 6 · 2018-05-03 13:53:53

264

Views

How can I show $\omega + \omega^2 = \omega^2$, regarding $\omega$ as an ordinal?

Published on 03 May 2018 - 13:53

score 231 · Answer 7 · 2018-05-05 18:24:59

231

Views

Find a subset of $(\mathbb{Q}, <)$ isomorphic to $Exp(\omega, \omega)$ as well ordered set

Published on 05 May 2018 - 18:24

score 54 · Answer 8 · 2018-05-05 18:25:28

54

Views

Interchanging supremums in ordinal arithmetic

Published on 05 May 2018 - 18:25

score 84 · Answer 9 · 2018-05-05 20:28:44

84

Views

For ordinal $\alpha > 1$, what's the smallest $\beta > 0$ such that $\alpha \beta = \beta$?

Published on 05 May 2018 - 20:28

score 48 · Answer 10 · 2018-05-06 20:49:10

48

Views

could be this a general (and useful) rule to operate with ordinal?

Published on 06 May 2018 - 20:49

score 98 · Answer 11 · 2018-05-06 21:26:25

98

Views

something more about $\omega ^ \omega$

Published on 06 May 2018 - 21:26

score 297 · Answer 12 · 2018-05-07 07:28:06

In ZFC if there is a bijection between any set and some ordinal, why use others sets in the first place? Why not assume everything is an ordinal?

score 325 · Answer 13 · 2018-05-08 11:33:01

325

Views

Cofinality of a limit ordinal is equal to the cofinality of a given normal operation - Proof

Published on 08 May 2018 - 11:33

score 63 · Answer 14 · 2018-05-10 02:05:56

63

Views

Clubs and some fixed type is realized by uncountably many elements.

Published on 10 May 2018 - 2:05

score 77 · Answer 15 · 2018-05-13 11:48:45

77

Views

Trouble understanding a property of ordinals

Published on 13 May 2018 - 11:48

List Question

Can you lay $ \aleph_1$ many people on a railway track?

Ordinal vs cardinal dimension

Modifying a sequence of ordinals to be increasing and continuous. (To find names of small rank.)

When does $\omega \cdot \alpha = \alpha$?

Given a Baire one function, is it true that its restriction to special subset continuous?

How can I show $\omega + \omega^2 = \omega^2$, regarding $\omega$ as an ordinal?

Find a subset of $(\mathbb{Q}, <)$ isomorphic to $Exp(\omega, \omega)$ as well ordered set

Interchanging supremums in ordinal arithmetic

For ordinal $\alpha > 1$, what's the smallest $\beta > 0$ such that $\alpha \beta = \beta$?

could be this a general (and useful) rule to operate with ordinal?

something more about $\omega ^ \omega$

In ZFC if there is a bijection between any set and some ordinal, why use others sets in the first place? Why not assume everything is an ordinal?

Cofinality of a limit ordinal is equal to the cofinality of a given normal operation - Proof

Clubs and some fixed type is realized by uncountably many elements.

Trouble understanding a property of ordinals

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