Timeline for A map inducing isomorphisms on homology but not on homotopy
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 28, 2014 at 14:19 | comment | added | John Klein | Olivier, there are many references. The papers which classify simple knots in high dimensions give a wealth of examples. See e.g., the work of Levine: An algebraic classification of some knots of codimension two. Comment. Math. Helv. 45 1970 185–198. | |
| Apr 18, 2014 at 12:55 | comment | added | Grigory M | (related question @ MSE: math.stackexchange.com/questions/750955) | |
| Apr 18, 2014 at 12:36 | comment | added | Olivier Bégassat | Could you recommend a reference for the high dimensional example? | |
| Aug 12, 2012 at 3:54 | comment | added | John Pardon | I like this answer because it shows that inducing an isomorphism on $\pi_1$ and $H_\ast(-;\mathbb Z)$ does not imply the map is a homotopy equivalence. | |
| Aug 12, 2012 at 3:38 | history | answered | John Klein | CC BY-SA 3.0 |