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Jan 4, 2010 at 22:31 comment added David E Speyer Most poset people don't use category theoretic language. However, they certainly say that the pair (x,y) is a cover, so I think it is fair game to say that x -> y is a cover.
Jan 4, 2010 at 16:49 comment added S. Carnahan I have also seen the term "immediate successor" (but I'm not a poset person).
Jan 4, 2010 at 15:50 comment added Hans-Peter Stricker Not consciously.
Jan 4, 2010 at 15:44 comment added Pete L. Clark Right, and an atom in a Boolean algebra is an element which covers 0. Is that the origin of the terminology?
Jan 4, 2010 at 15:19 history answered Reid Barton CC BY-SA 2.5