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Timeline for The category of posets

Current License: CC BY-SA 3.0

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Mar 16, 2012 at 16:57 comment added Gejza Jenča This is an extremely useful functor, when composed with other functors on the left. In combinatorics, one frequently takes an object (let us say a graph) constructs a poset (say a poset of certain sets of vertices) cuts off the bounds (to have a non-contractible space) and applies your Pos->Top functor. In some cases, the resulting space is a wedge of spheres and the dimension and/or the number of spheres express some properties of the original object.
Mar 16, 2012 at 16:11 comment added Malte Looking back at your post, you ask for useful functors ... maybe the first example is a bit too trivial then.
Mar 16, 2012 at 16:10 history answered Malte CC BY-SA 3.0