Timeline for Is there a compact group of countably infinite cardinality?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jul 19, 2014 at 21:32 | comment | added | Ali Taghavi | @YemonChoi thanks for the reference and information | |
| Jul 19, 2014 at 20:17 | comment | added | Yemon Choi | @AliTaghavi I don't know, and if you are seeking a quantum group version then there is the problem of deciding what should replace the notion of a "point", and what one means by a "countable quantum group". Possibly you could try to claim that a quantum group G is "countable" if $L^1({\bf G})$ is separable, and then show that this is incompatible with $C_0({\bf G})$ being unital (which is one way of saying that the quantum group ${\bf G}$ is compact). If you are not familiar with the quantum group formalism then I suggest looking at various expository papers on arXiv by van Daele | |
| Jul 19, 2014 at 17:36 | comment | added | Ali Taghavi | @YemonChoi How can one translate this question in term of Hopf algebras? | |
| Jul 9, 2013 at 7:48 | comment | added | Ricardo Andrade | Munkres' book "Topology" (in section 48 of the second edition) proves that any compact Hausdorff space is a Baire space, and gives the case of locally compact Hausdorff spaces as an exercise. | |
| Nov 10, 2009 at 22:50 | history | answered | Yemon Choi | CC BY-SA 2.5 |