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Sep 19, 2018 at 9:31 answer added Oscar Randal-Williams timeline score: 3
Sep 19, 2018 at 9:09 history edited BiM CC BY-SA 4.0
Thanks for Mark´s comment, the map now is the correct one.
Sep 19, 2018 at 9:08 comment added BiM @MarkGrant Yes , Thanks, I will edit it.
Sep 19, 2018 at 6:17 comment added Mark Grant It seems you have misquoted the paper slightly. They actually talk about an "asphericalization" $f_K:a(K)\to K$, so the map goes the other way. The claim that $f_K$ induces a surjection on any generalized homology theory is then supposed to follow from (2') $f_K$ injective on ordinary homology, and (4) $f_K$ pulls the stable tangent bundle of $K$ back to that of $a(K)$.
Aug 31, 2018 at 16:02 history asked BiM CC BY-SA 4.0