Question

$A \subseteq B \subseteq C ; A' \subseteq C' ; |A|=|A'| , |C|=|C'|$ ; then $\exists B' $ s.t. $A' \subseteq B' \subseteq C' $ , $|B|=|B'|$?

score 107 · Answer 1 · 2016-07-08 16:23:20

$A \subseteq B \subseteq C ; A' \subseteq C' ; |A|=|A'| , |C|=|C'|$ ; then $\exists B' $ s.t. $A' \subseteq B' \subseteq C' $ , $|B|=|B'|$?

score 677 · Answer 2 · 2016-07-08 17:02:19

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List Question

$A \subseteq B \subseteq C ; A' \subseteq C' ; |A|=|A'| , |C|=|C'|$ ; then $\exists B' $ s.t. $A' \subseteq B' \subseteq C' $ , $|B|=|B'|$?

prove sets cardinality inequality

Injective function between $\kappa^{\omega}$ and $[\kappa]^{\leqslant \omega}$

Cardinality of a borelian

Did Cantor both prove and disprove the Continuum Hypothesis?

If a set $A$ is uncountable , and a set $B$ is countable then $A \times B$ is uncountable.

Show that a set with an uncountable subset is itself uncountable.

How to show that any separable space is CCC

Is the set of aleph numbers countable?

Without AC is there a relationship between $\beth$ and $\aleph$ numbers?

Finding an example of a bijection from $\Bbb N$ to $E^+$.

Number of equivalence classes based on a relation regarding a non-principal ultrafilter

$\Bbb{R}^{\Bbb{N}}_{\square}$ is not ccc

How many compact Hausdorff spaces are there of a given cardinality?

Schröder-Bernstein, check proof

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