List questions from cardinals

Published on 10 Nov 2015 - 1:33

29

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cardinal of the union of an increasing sequence

Published on 10 Nov 2015 - 2:23

1.9k

Views

Taking away infinitely many elements infinitely many times

Published on 10 Nov 2015 - 11:26

768

Views

Show that $\leq$ is transitive over the cardinality of sets

Published on 10 Nov 2015 - 22:33

106

Views

Comparing Hartogs number to set of all sets of relations on a set

Published on 18 Mar 2026 - 23:52

283

Views

If a countable union of sets has card $\mathfrak{c}$, prove at least one of them has card $\mathfrak{c}$

Published on 11 Nov 2015 - 9:42

278

Views

Cardinality of a metric space

Published on 14 Nov 2015 - 13:04

290

Views

Are cardinal numbers well defined? Or could we have something like $\aleph_{1/2}$?

Published on 03 Apr 2026 - 23:02

661

Views

Examples of uncountable fields of characteristic $p$?

Published on 17 Mar 2026 - 3:42

238

Views

Trying to understand the slick proof about the dual space

Published on 28 Mar 2026 - 14:07

1k

Views

Cardinality of the Euclidean topology and the axiom of choice

Published on 03 Apr 2026 - 10:39

440

Views

definition of a $\kappa$-small simplicial set

Published on 28 Mar 2026 - 16:04

207

Views

Do the adeles $\mathbb{A}$ have the same cardinality as the real numbers $\mathbb{R}$?

Published on 01 Apr 2026 - 7:22

69

Views

Power Set, Theory of Linear Algebra, and Axiomatic Systems

Published on 30 Mar 2026 - 15:14

185

Views

Prove that (0,1) ⊆ R and (4,10) ⊆ R have the same cardinality

Published on 24 Nov 2015 - 4:04

List Question

Show that the set is not countable

cardinal of the union of an increasing sequence

Taking away infinitely many elements infinitely many times

Show that $\leq$ is transitive over the cardinality of sets

Comparing Hartogs number to set of all sets of relations on a set

If a countable union of sets has card $\mathfrak{c}$, prove at least one of them has card $\mathfrak{c}$

Cardinality of a metric space

Are cardinal numbers well defined? Or could we have something like $\aleph_{1/2}$?

Examples of uncountable fields of characteristic $p$?

Trying to understand the slick proof about the dual space

Cardinality of the Euclidean topology and the axiom of choice

definition of a $\kappa$-small simplicial set

Do the adeles $\mathbb{A}$ have the same cardinality as the real numbers $\mathbb{R}$?

Power Set, Theory of Linear Algebra, and Axiomatic Systems

Prove that (0,1) ⊆ R and (4,10) ⊆ R have the same cardinality

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