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Mike Hill

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Jan 10, 2006, 2:58:16 PM1/10/06

to Algebraic Topology

Hi,

So I am trying to write up a long, computational lemma, and part of
doing so requires my knowing a sufficient number of examples. I was
hoping that people more versed in this stuff than I could direct me to
examples of the following type in the stable stem: a, b\in pi_*(S^0)
are such that ab=0, and <a,b,b,b> is non-zero.

I think I could be happy if something weaker happened (but I'm not
totally sure): a,b\in \pi_*(S^0), ab=0, and <a,b,b,b> is killed by a
"big" Adams differential (ie, d_3 or beyond).

The first case is by far the best, especially if everything can be seen
in directly in Ext.