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Timeline for Does this concept have a name, and what are some of its applications?

Current License: CC BY-SA 2.5

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Jun 29, 2010 at 15:05 comment added Tom Boardman I am an idiot. :(
Jun 29, 2010 at 14:55 history edited Tom Boardman CC BY-SA 2.5
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Jun 29, 2010 at 14:46 history edited Tom Boardman CC BY-SA 2.5
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Jun 29, 2010 at 14:28 comment added Tom Boardman @ Supercooldave- intriguing enough to warrant retrieval, feel free to play with below if you're up for expanding vvvv :)
Jun 29, 2010 at 14:14 comment added Tom Boardman @ Mariano: correct, and corrected :)
Jun 29, 2010 at 14:11 history edited Tom Boardman CC BY-SA 2.5
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Jun 29, 2010 at 14:10 comment added supercooldave Pity you deleted it. In some recent work I was working with a closure operator which satisfied 3 of the 4 properties you mentioned (not the $\cup$ one). It turns out (conjecture!) that this was related to a pullback in a certain coslice category, which is quite related to what Peter LeFanu Lumsdaine is saying (though perhaps dual). Unfortunately, I cannot say anything in general, perhaps except that pullbacks in coslice categories correspond to taking certain maximums and pushouts in slice categories correspond to taking certain minimums.
Jun 29, 2010 at 14:08 comment added Mariano Suárez-Álvarez One should probably say: «the left adjoint, when it exists, provides...» :)
Jun 29, 2010 at 13:58 history edited Tom Boardman CC BY-SA 2.5
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Jun 29, 2010 at 12:54 history edited Tom Boardman CC BY-SA 2.5
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Jun 29, 2010 at 11:56 history edited Tom Boardman CC BY-SA 2.5
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Jun 29, 2010 at 11:43 history answered Tom Boardman CC BY-SA 2.5