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8 votes

Reference needed: Isomorphism on pi_1 and homology gives weak equivalence

The proof in the simply connected case is well-known and is a consequence of the relative Hurewicz theorem. See Corollary 1, page 79 of Mosher and Tangora's book, Cohomology Operations and Application …
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5 votes

Does anyone know a basepoint-free construction of universal covers?

Here is another attempt at pinning down the meaning of "canonical" in reference to Tom's answer. Let X be a nice space (connected, locally path-connected and semi-locally simply connected). Let …
John Klein's user avatar
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