Timeline for Is there a name for this property of a topology?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 20, 2010 at 15:44 | comment | added | Willie Wong | Thanks for verifying my question (I am a bit rusty here). | |
| Mar 20, 2010 at 15:01 | comment | added | Alexei Fedotov | Willie, this is ,clearly, saying that every local base can not be finite. | |
| Mar 20, 2010 at 14:01 | comment | added | Willie Wong | Sort of going the other way (you gave a condition that implies the OP's condition), the condition implies that any local system, ordered by set inclusion, cannot have a smallest element. I think this is saying that local base cannot be finite? (This distinguishes your two examples of R with (-infty,a) and Z with (-infty,n). ) | |
| Mar 20, 2010 at 2:26 | comment | added | Joel David Hamkins | Note that in the example space I give, no finite I would suffice, in contrast to the T1 perfect space situation, where I of size 2 suffices. | |
| Mar 19, 2010 at 17:32 | history | edited | Joel David Hamkins | CC BY-SA 2.5 |
added 194 characters in body
|
| Mar 19, 2010 at 17:13 | history | answered | Joel David Hamkins | CC BY-SA 2.5 |