Timeline for Which topological spaces are (topological) groups?
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| Feb 24, 2013 at 20:05 | comment | added | Włodzimierz Holsztyński | Hi Buschi, thank you for your kind words. I am rusty, but I think I can sketch a complete argument to support your statement about the equivalence. It would then work for all compact groups (not just for connected). K.Borsuk and I only started along this line. However, the general categorical approach gives a good foundation for this question. It was later James Keesling who seriously studied compact groups in the context of shape theory. (Also, another q. on MO--about Cech cohomology--is strongly (and unknowingly?) related to shape theory; I'll try to find it, to post an "answer"). | |
| Feb 24, 2013 at 11:00 | comment | added | Buschi Sergio | Dear Prof Holsztynski W, when I was student I studied your articles about shape theory (a categorical study) . By the way I remeber that for compact (T2 I seem) connected group the (weak) shape funcor is a equivalence. ams.org/journals/tran/1974-194-00/S0002-9947-1974-0345064-8 | |
| Feb 24, 2013 at 7:46 | history | answered | Włodzimierz Holsztyński | CC BY-SA 3.0 |