Timeline for What if I want to look for a space with vanishing first homology but nonzero fundamental group?
Current License: CC BY-SA 3.0
3 events
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| Oct 20, 2012 at 23:15 | comment | added | Ralph | The first homology is the abelianization of the fundamental group, i.e. if the fundamental group is perfect (like $A_5$) then $H_1$ vanishes. | |
| Oct 20, 2012 at 22:48 | comment | added | tweetie-bird | I think the OP also wants the first homology group to be 0 -- going by the title of the question rather than the text. | |
| Oct 20, 2012 at 22:40 | history | answered | Ralph | CC BY-SA 3.0 |