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Statements

Subject Item
dbr:Pro-simplicial_set
rdf:type
yago:Group100031264 yago:WikicatSimplicialSets yago:Collection107951464 yago:Abstraction100002137 yago:Set107996689
rdfs:label
Pro-simplicial set
rdfs:comment
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).
dcterms:subject
dbc:Simplicial_sets
dbo:wikiPageID
6007184
dbo:wikiPageRevisionID
950536925
dbo:wikiPageWikiLink
dbc:Simplicial_sets dbr:Étale_homotopy_theory dbr:Inverse_system dbr:Homotopy_groups dbr:Finite_group dbr:Mathematics dbr:Shape_theory_(mathematics) dbr:Simplicial_set
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dbo:abstract
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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dbr:System
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wikipedia-en:Pro-simplicial_set