Question

Cardinallity of the set of continuous functions $X \to Y$, when space $X$ is separable, $Y$ is Hausdorff and $|Y|\leq 2^{\aleph_0}$.

score 203 · Answer 1 · 2017-10-01 20:18:35

Cardinallity of the set of continuous functions $X \to Y$, when space $X$ is separable, $Y$ is Hausdorff and $|Y|\leq 2^{\aleph_0}$.

score 244 · Answer 2 · 2017-10-03 06:57:28

244

Views

Metric space separable implies its cardinality $\leq \mathfrak{c}$

Published on 03 Oct 2017 - 6:57

score 205 · Answer 3 · 2017-10-04 14:38:09

205

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How to evaluate $\prod_{i\in \omega}\aleph_i$

Published on 04 Oct 2017 - 14:38

score 253 · Answer 4 · 2026-03-25 17:32:43

253

Views

Cardinality of a Banach space

Published on 25 Mar 2026 - 17:32

score 31 · Answer 5 · 2017-10-05 20:13:37

31

Views

Transfinite Induction Question

Published on 05 Oct 2017 - 20:13

score 200 · Answer 6 · 2017-10-06 19:21:51

200

Views

Understanding two lines from a proof that successor cardinals are regular

Published on 06 Oct 2017 - 19:21

score 691 · Answer 7 · 2017-10-07 10:30:07

691

Views

Inequalities relating the cardinality of finite sets

Published on 07 Oct 2017 - 10:30

score 705 · Answer 8 · 2017-10-07 20:10:01

705

Views

The cardinal of finite field

Published on 07 Oct 2017 - 20:10

score 61 · Answer 9 · 2017-10-08 12:23:30

61

Views

A line in a proof that $\operatorname{cf}(\lambda^{\kappa})\gt\kappa$

Published on 08 Oct 2017 - 12:23

score 469 · Answer 10 · 2017-10-08 14:41:07

469

Views

Two uncountables sets are always equinumerous?

Published on 08 Oct 2017 - 14:41

score 395 · Answer 11 · 2017-10-09 19:07:03

395

Views

Show that the following pairs of sets have the same cardinality by giving explicit bijections between them

Published on 09 Oct 2017 - 19:07

score 206 · Answer 12 · 2017-10-12 13:02:20

206

Views

Does $A > B$ imply $A^2 > B^2$

Published on 12 Oct 2017 - 13:02

score 568 · Answer 13 · 2017-10-13 16:08:22

568

Views

If every countable subset of a space is closed, is the topology discrete?

Published on 13 Oct 2017 - 16:08

score 557 · Answer 14 · 2017-10-14 12:07:09

557

Views

Cardinality of Natural and positive Rational numbers

Published on 14 Oct 2017 - 12:07

score 63 · Answer 15 · 2017-10-15 13:23:07

63

Views

$\{(X,Y) | X \cap Y = Z \} = \{X | Z \subset X\} \times \{Y | Z \subset Y\}$?

Published on 15 Oct 2017 - 13:23

List Question

Cardinallity of the set of continuous functions $X \to Y$, when space $X$ is separable, $Y$ is Hausdorff and $|Y|\leq 2^{\aleph_0}$.

Metric space separable implies its cardinality $\leq \mathfrak{c}$

How to evaluate $\prod_{i\in \omega}\aleph_i$

Cardinality of a Banach space

Transfinite Induction Question

Understanding two lines from a proof that successor cardinals are regular

Inequalities relating the cardinality of finite sets

The cardinal of finite field

A line in a proof that $\operatorname{cf}(\lambda^{\kappa})\gt\kappa$

Two uncountables sets are always equinumerous?

Show that the following pairs of sets have the same cardinality by giving explicit bijections between them

Does $A > B$ imply $A^2 > B^2$

If every countable subset of a space is closed, is the topology discrete?

Cardinality of Natural and positive Rational numbers

$\{(X,Y) | X \cap Y = Z \} = \{X | Z \subset X\} \times \{Y | Z \subset Y\}$?

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