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Timeline for do spectra have diagonal maps?

Current License: CC BY-SA 3.0

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Jan 7, 2012 at 16:18 vote accept Cary
Jan 1, 2012 at 15:42 comment added Tom Goodwillie Yes. I have edited to clarify this.
Jan 1, 2012 at 15:41 history edited Tom Goodwillie CC BY-SA 3.0
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Jan 1, 2012 at 15:28 comment added Cary So if I had a natural "diagonal" $X \rightarrow X \wedge X$ then it would give a bilinear pairing $[X,A] \times [X,B] \rightarrow [X,A \wedge B]$. By your argument, such a pairing must be zero. So the only candidate for $X \rightarrow X \wedge X$ is the zero map. Did I understand that correctly?
Jan 1, 2012 at 15:18 vote accept Cary
Jan 1, 2012 at 15:23
Dec 28, 2011 at 18:30 history answered Tom Goodwillie CC BY-SA 3.0