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Apr 13, 2017 at 12:58 history edited CommunityBot
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Jul 2, 2015 at 18:40 comment added user51223 I think I have been a little vague here, so what follows might be vague too, and maybe wonrg!! Often, you start with a Moore space and then attach cells to get an EM space. So, somehow reverse, if we can think off a Moore space as the $\infty$-stage of Postnikov system for an EM space, then you see that in their Kraines-Lada paper, what they do is to consider spaces of different stages in a Postnikov system built over an EM space and show that these spaces cannot have $A_k$ structure, so on. So, if you feel happy reading their paper in this way, I thought it would imply what you are after.
Jul 2, 2015 at 0:25 comment added Prasit If you don't mind, can you point me out to some of the details of this paper that are relevant to the question above? May be a sketch!
Jul 1, 2015 at 9:34 comment added user51223 I suggest the paper of Kraines and Lada on the transfer conjecture, titled `A Counterexample to the Transfer Conjecture'. I don't think it is stated as a statement you quote above, but their result on a 3-stage Postnikov tower of an Eilenberg MacLane space, I guess, implies the statement you look for.
Jun 30, 2015 at 22:15 history edited Prasit CC BY-SA 3.0
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Jun 30, 2015 at 21:50 history asked Prasit CC BY-SA 3.0