Re: Another set with cardinality |Z|

From: Robin Chapman (rjc_at_ivorynospamtower.freeserve.co.uk)
Date: 09/27/04 

Date: Mon, 27 Sep 2004 14:40:58 +0100

Eray "are there integers with an infinite number of digits?" Ozkural wrote:

>
> Ok. Then, let me try to make the point which Jean-Marc Bourguet
> demanded. Let's imagine a complete binary tree with depth d in Z*
> (single vertex tree has depth 0, 2 edge tree has depth 1, ...). Let
> each level of vertices be collected in a set of tree levels L={L_0,
> L_1, L_2, ..., L_d-1}. Can I show a mapping from vertex set V(T) to
> powerset of L?

There is a mapping (function) from every set A to every
nonempty set B. 

-- 
Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html
"Lacan, Jacques, 79, 91-92; mistakes his penis for a square root, 88-9"
Francis Wheen, _How Mumbo-Jumbo Conquered the World_