Timeline for Closure-complement-union: countable space, finite seed, infinite family, space unique?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 9, 2013 at 18:36 | vote | accept | mathematrucker | ||
| Apr 9, 2013 at 18:35 | comment | added | mathematrucker | @Joel I corrected the topology description above, but you and Toink have shown that my original question didn't capture any uniqueness I thought I observed in my computer experiments. The only change I would suggest is to restrict to a finite space and singleton seed set and require that the power set of the space be generated under the three operations. If this still doesn't imply a topologically unique space (for each finite cardinality), then what I thought might be a bonus discovery in my computer experiments, was evidently a bogus one. | |
| Apr 9, 2013 at 14:51 | history | edited | mathematrucker | CC BY-SA 3.0 |
error in problem statement
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| Apr 8, 2013 at 14:02 | answer | added | Santi Spadaro | timeline score: 1 | |
| Apr 7, 2013 at 18:55 | comment | added | Joel David Hamkins | Mathematrucker, your family is not a topology, since it is closed neither under unions (not even finite unions) nor finite intersections. Do you intend the topology generated by those sets? | |
| Apr 7, 2013 at 18:27 | comment | added | Joel David Hamkins | Toink, I should have said $T_0$ instead of Hausdorff, but I've moved my comment to an answer. | |
| Apr 7, 2013 at 18:08 | answer | added | Joel David Hamkins | timeline score: 1 | |
| Apr 7, 2013 at 16:48 | comment | added | Toink | how is the space $X$ above Hausdorff? | |
| Apr 7, 2013 at 16:03 | history | asked | mathematrucker | CC BY-SA 3.0 |