The cardinality of an infinite set

Asked Dec 29 '16 at 16:58

Active Dec 29 '16 at 17:25

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In one of my assignments I'm given a set $A$ for which its cardinality is not finite, and a finite set $M = \{1,2,...,m\}$.

I'm asked to prove that the cardinality of $M\times A$ is equal to the cardinality of $A$.

I managed to find a surjective function from $M \times A$ to $A$, but I'm struggling with the other part of the proof (trying to use the "Squeeze theorem") given the fact that there is no further information on the set $A$.

edited Dec 29 '16 at 17:18

asked Dec 29 '16 at 16:58

Lola

What are you trying to say? This is the part that I did manage to prove, I'm struggling with the other side – Lola Dec 29 '16 at 17:16
oh sorry my bad. – user251257 Dec 29 '16 at 17:21
The "Arithmetic" section here can help: https://en.m.wikipedia.org/wiki/Cardinal_number – user3141592 Dec 29 '16 at 19:36

The cardinality of an infinite set

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