Timeline for Two H-space structures on S^3 and [X,S^3] different as groups for each: Explicit Example?
Current License: CC BY-SA 3.0
5 events
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Mar 18, 2015 at 20:29 | comment | added | Jeff Strom | Good point, and not one I have resolved yet. I sort of answered the question I thought you asked, not the one you did ask. Still thinking. | |
Mar 18, 2015 at 19:12 | comment | added | user1437 | Great! This is explicit enough for me. However, does this actually imply that the two resulting groups are not isomorphic? Perhaps the isomorphisms to the same abelian group are different on the underlying sets? | |
Mar 17, 2015 at 18:55 | comment | added | Eric Wofsey | This group is computed for the standard $H$-space structure here. | |
Mar 17, 2015 at 13:54 | comment | added | Mark Grant | Nice! And you might hope to compute the groups $[S^3\times S^3,S^3]$, using the cofibration sequence $S^3\vee S^3\to S^3\times S^3 \to S^3\wedge S^3 = S^6$. | |
Mar 17, 2015 at 13:36 | history | answered | Jeff Strom | CC BY-SA 3.0 |