- Pro-simplicial set
In
mathematics , a pro-simplicial set is aninverse system ofsimplicial set s.A pro-simplicial set is called "pro-finite" if each term of the inverse system of simplicial sets has finite
homotopy groups .Pro-simplicial sets show up in shape theory, in the study of localization and completion in homotopy theory, and in the study of homotopy properties of schemes (e.g.
étale homotopy theory ).
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