Timeline for Anything between vector bundles and sphere bundles?
Current License: CC BY-SA 3.0
4 events
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Feb 10, 2015 at 14:20 | comment | added | Robert Bryant | @LennartMeier: I believe the symbol $\simeq$ in your remark denotes 'homotopy equivalence'. Is this correct? | |
Feb 10, 2015 at 13:53 | comment | added | Lennart Meier | As a remark: $Diff(S^2) \simeq O(3)$ (Smale) and $Diff(S^3) \simeq O(4)$ (Hatcher) | |
Feb 8, 2015 at 13:42 | comment | added | მამუკა ჯიბლაძე | Very interesting, thank you very much! Reading your answer I thought (seemingly unrelatedly) about yet another possibility but still am not sure whether to include it in the question. You see, in principle this might not even be a group - rather, having in mind highly connective covers of Lie groups, one might think of maps "linear up to homotopy", together with chosen such "linearizing homotopies". | |
Feb 8, 2015 at 12:40 | history | answered | Robert Bryant | CC BY-SA 3.0 |