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Timeline for infinite permutations

Current License: CC BY-SA 2.5

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Mar 9, 2010 at 21:50 comment added Joel David Hamkins A more interesting permutation than sigma would be the permuation tau such that tau(n) = n+2 if n is odd, and tau(n) = n-2 if n is even, except when n=2, where we have t(2) = 1. Thus, tau slides the odd numbers up, the even numbers down, and slips 2 into place at 1 to fill the hole.
Mar 9, 2010 at 21:08 history edited Michael Lugo CC BY-SA 2.5
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Mar 9, 2010 at 21:01 comment added kakaz No! I was wrong and accept it too fast! Suppose we define finite permutation that we have a1=(2,1,3,4,5,6...), a2 = (2,1,4,3,5,6...), a3 = (2,1,4,3,6,5,...) so obviously Your permutation is a limit of such sequence...
Mar 9, 2010 at 20:56 comment added aorq What does "limit" mean?
Mar 9, 2010 at 20:55 vote accept kakaz
Mar 9, 2010 at 20:59
Mar 9, 2010 at 20:54 history answered Michael Lugo CC BY-SA 2.5