Timeline for Topology of ${\mathbb R}^n$
Current License: CC BY-SA 3.0
5 events
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Feb 23, 2013 at 5:25 | comment | added | Serge Lvovski |
@Greg: if $M$ or $N$ is not simply connected, it suffices to observe that $\pi_1(M\times N)$ is non-trivial:)
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Feb 22, 2013 at 21:22 | comment | added | Greg Friedman | If one of $M$ or $N$ isn't simply connected, the same argument will work with $\pi_1$; this result isn't as general but might be more accessible for undergraduates, as it's probably easier for them to quickly grasp the idea of fundamental groups than of homology (if they haven't seen either before). Then you can explain to them that there are "similar but a little more complicated" things one can use if both spaces are simply connected. | |
Feb 22, 2013 at 15:42 | history | undeleted | Lee Mosher | ||
Feb 22, 2013 at 15:41 | history | deleted | Lee Mosher | ||
Feb 22, 2013 at 15:40 | history | answered | Lee Mosher | CC BY-SA 3.0 |