Definition talk:Support

Can we make this a disambiguation page? There are so many notions of support; those for permutations and direct products aren't even there yet. --barto (talk) 15:24, 16 December 2016 (EST)

Also, it does not make much sense to categorize this as Definitions/Analysis if we include notions of support that are non-analytical. --barto (talk) 15:57, 16 December 2016 (EST)


 * If we have instances of a definition of support that are analytical then it does make sense to include an "analysis" category.


 * All the definitions are consistent with each other, and "mean the same sort of thing", which justifies the transclusion approach. --prime mover (talk) 03:08, 17 December 2016 (EST)


 * Okay. (I'm in the process of getting acquainted with some of the more subtle conventions.) That makes me wondering if the general page should have the categories of all of its entries. --barto (talk) 03:31, 17 December 2016 (EST)


 * When it started, it did. :-)


 * I concede, having looked at it a little longer (be gentle with me, it's the morning after the night before) there may be a case for separating out the notions. It would help if you were to cite your sources for all these definitions that are coming out, so we have the chance of reading around the subject and see where this is all going. --prime mover (talk) 04:53, 17 December 2016 (EST)


 * I will look for some references. Where this is going: support of permutations should eventually serve to characterize normal subgroups of infinite symmetric groups; support in the context of direct products will be used in proofs that Definition:External Direct Sum is closed. --barto (talk) 05:35, 17 December 2016 (EST)

For all (or almost all?) of the notions of support there is a result that says something like Support of Product is Contained in Union of Supports; though the proof of that depend slightly on the notion. Is it sensible to have a proof page with transclusions? --barto (talk) 03:41, 17 December 2016 (EST)


 * I don't see why not. --prime mover (talk) 04:50, 17 December 2016 (EST)


 * Okay. What do you think is better: Support of Product is Contained in Union of Supports or just Support of Product? I don't much like long page titles; but they have to be transparent... --barto (talk) 05:20, 17 December 2016 (EST)


 * The longer one --prime mover (talk) 06:00, 17 December 2016 (EST)