Timeline for The closure-complement-intersection problem
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Jun 22, 2019 at 17:51 | comment | added | mathematrucker | A couple years ago I posted a history of the closure-complement-intersection problem here: math.stackexchange.com/a/2317968/32209 | |
| Aug 1, 2017 at 9:02 | comment | added | Taras Banakh | @Greg Muller But for any chain $\tau_1\subset\cdots\subset\tau_n$ of pairwise comparable topologies on a set $X$ the number of sets that can be obtained from a given set $A\subset X$ by consequtive application of the operations of complement and closure in a topology $\tau_i$ is finite! See, arxiv.org/abs/1508.07703 | |
| Dec 2, 2012 at 22:33 | comment | added | mathematrucker | Also worthy of note, on p. 34 in their paper "The Kuratowski Closure-Complement Theorem", New Zealand J. Math., 38 (2008) 9-44, MR2491682, nzjm.math.auckland.ac.nz/images/6/63/… Gardner and Jackson make the interesting observation that the combined power of all three operations need not be called upon to obtain an infinite family. It turns out that by merely applying the two operations closure and set difference to a single seed set, infinitely many distinct sets are obtainable. | |
| Jun 4, 2012 at 21:45 | history | edited | mathematrucker | CC BY-SA 3.0 |
My translation of Kuratowski's paper has been removed from docstoc. Some problems arose that location. The paper will reappear elsewhere soon.
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| May 25, 2012 at 16:44 | history | edited | mathematrucker | CC BY-SA 3.0 |
Corrected a trivial technical error in my depiction of the topology.
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| May 25, 2012 at 16:23 | history | edited | mathematrucker | CC BY-SA 3.0 |
Removed Facebook link since the page it linked to wasn't being used.
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| Apr 5, 2010 at 19:53 | history | edited | mathematrucker | CC BY-SA 2.5 |
deleted 32 characters in body
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| Apr 5, 2010 at 19:47 | history | edited | mathematrucker | CC BY-SA 2.5 |
corrected the link at the bottom
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| Apr 5, 2010 at 19:36 | history | edited | mathematrucker | CC BY-SA 2.5 |
deleted 1 characters in body
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| Apr 5, 2010 at 18:24 | history | answered | mathematrucker | CC BY-SA 2.5 |