Question

If $k$ is not a limit cardinal, then the cardinality of a set $E$ with $\lim\limits_{\alpha\in E}\alpha=k$ is equal to the cardinality of $k.$

score 135 · Answer 1 · 2026-03-28 12:14:49

135

Views

If $k$ is not a limit cardinal, then the cardinality of a set $E$ with $\lim\limits_{\alpha\in E}\alpha=k$ is equal to the cardinality of $k.$

Published on 28 Mar 2026 - 12:14

score 68 · Answer 2 · 2016-09-12 15:09:22

68

Views

Oordinal numbers - lack of understanding of equality

Published on 12 Sep 2016 - 15:09

score 63 · Answer 3 · 2016-09-13 20:35:37

63

Views

Special well ordering on every set

Published on 13 Sep 2016 - 20:35

score 98 · Answer 4 · 2016-09-13 21:59:34

98

Views

Questions on ordered sets?

Published on 13 Sep 2016 - 21:59

score 43 · Answer 5 · 2026-04-01 14:23:50

43

Views

Name of a relation R⊆A×B s.t. ∀a'≤a, b≤b': aRb ⇒ a'Rb'

Published on 01 Apr 2026 - 14:23

score 874 · Answer 6 · 2016-09-15 22:53:11

874

Views

Order Preserving Bijection Also Preserves Number of Predecessors

Published on 15 Sep 2016 - 22:53

score 77 · Answer 7 · 2016-09-16 08:37:54

77

Views

MacNeille completion: interchanging the closure operator

Published on 16 Sep 2016 - 8:37

score 186 · Answer 8 · 2016-09-16 18:58:44

186

Views

Partial order on $\langle P(\mathbb{N}), \subseteq\rangle$ contains continuum-size chains and anti-chains

Published on 16 Sep 2016 - 18:58

score 49 · Answer 9 · 2016-09-17 06:28:03

49

Views

what is the partial order on $\Lambda_n$ that corresponding to the partial order on $\pi_n$?

Published on 17 Sep 2016 - 6:28

score 1.4k · Answer 10 · 2026-03-29 15:21:31

1.4k

Views

Show that a function $f:P(X)\to P(X)$ preserving the subset relation has a fixed point

Published on 29 Mar 2026 - 15:21

score 227 · Answer 11 · 2016-09-18 20:56:02

227

Views

Question on strict order of a disjoint union

Published on 18 Sep 2016 - 20:56

score 464 · Answer 12 · 2016-09-19 15:06:00

464

Views

Well ordering of $ \mathbb{R} $ of smallest order type

Published on 19 Sep 2016 - 15:06

score 18 · Answer 13 · 2026-03-21 10:55:32

18

Views

Can there be a positive function on a densely ordered set that converges to zero everywhere?

Published on 21 Mar 2026 - 10:55

score 95 · Answer 14 · 2016-09-21 17:57:13

95

Views

Embedding of ordered sets?

Published on 21 Sep 2016 - 17:57

score 526 · Answer 15 · 2026-04-01 05:11:44

526

Views

Number of Non-Isomorphic linear orders on $\kappa$ elements

Published on 01 Apr 2026 - 5:11

List Question

If $k$ is not a limit cardinal, then the cardinality of a set $E$ with $\lim\limits_{\alpha\in E}\alpha=k$ is equal to the cardinality of $k.$

Oordinal numbers - lack of understanding of equality

Special well ordering on every set

Questions on ordered sets?

Name of a relation R⊆A×B s.t. ∀a'≤a, b≤b': aRb ⇒ a'Rb'

Order Preserving Bijection Also Preserves Number of Predecessors

MacNeille completion: interchanging the closure operator

Partial order on $\langle P(\mathbb{N}), \subseteq\rangle$ contains continuum-size chains and anti-chains

what is the partial order on $\Lambda_n$ that corresponding to the partial order on $\pi_n$?

Show that a function $f:P(X)\to P(X)$ preserving the subset relation has a fixed point

Question on strict order of a disjoint union

Well ordering of $ \mathbb{R} $ of smallest order type

Can there be a positive function on a densely ordered set that converges to zero everywhere?

Embedding of ordered sets?

Number of Non-Isomorphic linear orders on $\kappa$ elements

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