Construct uncountably infinite many infinite sets, whose pair wise intersection is finite, and union of all of them is the set of natural numbers.

Asked Oct 07 '16 at 04:59

Active Oct 07 '16 at 06:26

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I have been trying to find a bijection between $N$ and all rational numbers in $[0,1]$.But I am not getting the rigor.

edited Oct 07 '16 at 05:08

Asaf Karagila

asked Oct 07 '16 at 04:59

1

It's usually a good idea to search before posting. – Asaf Karagila Oct 07 '16 at 05:08
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@AsafKaragila I'm not sure this is a duplicate, because the (admittedly trivial) requirement "union of all of them is the set of natural numbers" is absent from the old question. – bof Oct 07 '16 at 05:34
@bof: You're joking, right? – Asaf Karagila Oct 07 '16 at 07:21

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