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Nov 4, 2016 at 19:49 comment added Ian Agol @VivekShende: I don't think this example shows this, because to get transitivity, one may have to take a sequence of cycles and maps to surfaces. I don't see immediately how to show this gives the same as homology however.
Nov 4, 2016 at 16:55 comment added Vivek Shende also: what if I asked instead about the equivalence relation generated by such maps to surfaces --- does the above example also show this is finer than homology?
Nov 2, 2016 at 8:40 comment added Vivek Shende Cool..........!
Nov 2, 2016 at 8:39 vote accept Vivek Shende
Nov 2, 2016 at 5:42 history edited Ian Agol CC BY-SA 3.0
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Nov 1, 2016 at 6:45 history answered Ian Agol CC BY-SA 3.0