Timeline for Spaces with same homotopy and homology groups that are not homotopy equivalent?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 27, 2011 at 17:22 | comment | added | Dylan Thurston | In this context, I guess it's better to talk about the cup product on cohomology than the intersection form, as the cup product is manifestly homotopy invariant. | |
| Jan 27, 2011 at 14:56 | comment | added | John Klein | I realized I goofed on the dimension of my base space above. Thanks for the fix. | |
| Jan 27, 2011 at 7:04 | comment | added | Dylan Thurston | Very nice, this is what I was looking for. | |
| Jan 27, 2011 at 7:01 | vote | accept | Dylan Thurston | ||
| Jan 26, 2011 at 22:45 | comment | added | Allen Hatcher | Another reason they have the same homotopy groups is that both fibrations have a section, so their long exact sequences of homotopy groups split. | |
| Jan 26, 2011 at 21:52 | history | answered | Somnath Basu | CC BY-SA 2.5 |