Timeline for Why is a topology made up of 'open' sets?
Current License: CC BY-SA 2.5
4 events
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| Jun 27, 2011 at 14:15 | history | made wiki | Post Made Community Wiki | ||
| Jun 15, 2010 at 22:56 | comment | added | Harald Hanche-Olsen | The short answer is that I did not read the original question as “why is a topology made up of open sets and not of closed sets?”. If that were the question, of course my answer would not be much help. But I don't think it was. | |
| Jun 15, 2010 at 21:49 | comment | added | Andreas Rüdinger | I'm sorry, but I do not fully understand why the fact that a "mapping between metric spaces is continuous if and only if the inverse image of an open set is open" should justify the predominace of open sets in topology vs. closed sets. It is also true that a mapping between metric spaces is continuous if and only if the inverse image of a closed set is closed. So this does not yield a pedagogic motivation for using open sets in my opinion. | |
| Mar 23, 2010 at 23:03 | history | answered | Harald Hanche-Olsen | CC BY-SA 2.5 |