Timeline for closed decomposition of locally compact Hausdorff space
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 12, 2018 at 17:06 | vote | accept | Douglas Somerset | ||
| Apr 12, 2018 at 16:31 | comment | added | YCor | @LSpice W. Sierpinski, Un théorème sur les continus, Tôhoku Math. J. 13 (1918), 300--303. jstage.jst.go.jp/article/tmj1911/13/0/13_0_300/_article (He's quoted in matwbn.icm.edu.pl/ksiazki/fm/fm142/fm14216.pdf with this result. Actually the 1918 result is stated for a connected compact subset of a Euclidean space) | |
| Apr 12, 2018 at 16:29 | comment | added | LSpice | @YCor, do you have a reference for the Sierpiński result (maybe even in a textbook, rather than the original paper)? | |
| Apr 12, 2018 at 15:16 | comment | added | YCor | @RamirodelaVega thanks (this addressed an erased comment about the segment). Actually, Sierpinski proved in 1918 that a connected compact space never has a partition into countably infinitely many closed subsets. | |
| Apr 12, 2018 at 15:08 | answer | added | YCor | timeline score: 6 | |
| Apr 12, 2018 at 14:50 | comment | added | Ramiro de la Vega | @YCor, I think the OP means infinitely many closed subsets. | |
| Apr 12, 2018 at 14:48 | review | Close votes | |||
| Apr 12, 2018 at 15:40 | |||||
| Apr 12, 2018 at 14:10 | history | asked | Douglas Somerset | CC BY-SA 3.0 |