Definition talk:Dynkin System

Minor point

Does anyone now why it is a "Dynkin system on (a set) $X$" but a "$\sigma$-algebra over $X$"? –Abcxyz (talk | contribs) 10:55, 25 March 2012 (EDT)

No; in fact, I have quite consistently been using the phrase '$\sigma$-algebra on $X$'. --Lord_Farin 11:00, 25 March 2012 (EDT)

I've never seen "$\sigma$-algebra on $X$". Just wondering, what does Schilling do? –Abcxyz (talk | contribs) 11:11, 25 March 2012 (EDT)

Schilling uses 'on', probably this is the origin of my use as well. I will amend the definition. --Lord_Farin 11:12, 25 March 2012 (EDT)

Not necessarily any need to amend anything. The most trivial aspect of mathematics is the use of the prepositions linking a structure to its underlying set. Suggested approach is an "also known as" section, which I'm now plugging heavily. The idea being that a) it keeps the exposition uncluttered, and b) makes sure that everybody's favourite terminology is documented. It's a sore point in the eyes of many contributors that we don't use Their Favourite Terminology, which is as pointless an argument as "who's got the best god". --prime mover 11:58, 25 March 2012 (EDT)