In mathematics, a pro-simplicial set is an inverse system of simplicial sets.
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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Mod-08 Lec-19 Delaunay Triangulation.
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References
- Edwards, David A.; Hastings, Harold M. (1980), "Čech theory: its past, present, and future", The Rocky Mountain Journal of Mathematics, 10 (3): 429–468, doi:10.1216/RMJ-1980-10-3-429, MR 0590209.
- Edwards, David A.; Hastings, Harold M. (1976), Čech and Steenrod homotopy theories with applications to geometric topology, Lecture Notes in Mathematics, Vol. 542, Springer-Verlag, Berlin-New York, MR 0428322.
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This page was last edited on 12 April 2020, at 16:09