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Apr 12, 2011 at 9:18 answer added Neil Strickland timeline score: 10
Apr 11, 2011 at 20:21 vote accept Mikola
Apr 11, 2011 at 20:04 history edited Mikola CC BY-SA 3.0
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Apr 11, 2011 at 20:03 answer added Dylan Thurston timeline score: 4
Apr 11, 2011 at 19:51 comment added Dylan Thurston In the finite case, a complete partial order is just a poset with a least element. The usual definition of a poset from a finite topology is to declare x < y in the poset if the closure of {x} contains y in the topology. I don't see why this needs to have a least (or greatest) element.
Apr 11, 2011 at 19:32 comment added Mikola @Mariano: Thanks, I updated the question to reflect your comment.
Apr 11, 2011 at 19:30 history edited Mikola CC BY-SA 3.0
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Apr 11, 2011 at 19:26 comment added Mariano Suárez-Álvarez Re: your last paragraph: simplicial complexes are posets, but CW-complexes have more information than incidence, contained in their attaching maps.
Apr 11, 2011 at 19:12 history asked Mikola CC BY-SA 3.0