[FOM] Equivalence relation on sets of natural numbers

weinert at math.uni-bonn.de weinert at math.uni-bonn.de
Tue Sep 11 21:35:58 EDT 2012


Dear Tim!

If I am not mistaken this is known as the E_0 equivalence relation. See,
for example
http://arxiv.org/pdf/math/0610988.pdf
, page 14.

Best regards,
Thilo


> I want to declare that two sets of natural numbers are equivalent if their
> symmetric difference is finite.
>
> Is there a standard term for the resulting family of equivalence classes,
> or for the equivalence relation?  I feel like I've seen this somewhere
> before but I can't recall where.
>
> Tim
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