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Results tagged with fundamental-group
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user 8032
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 …
- 18.5k
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 …
- 18.5k