About: Homotopy hypothesis

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Hypothesis that the ∞-groupoids are equivalent to the topological spaces

Property	Value
dbo:description	hypothesis that the ∞-groupoids are equivalent to the topological spaces (en)
dbo:wikiPageExternalLink	http://math.ucr.edu/home/baez/homotopy/homotopy.pdf https://mathoverflow.net/q/234492
dbo:wikiPageWikiLink	dbr:Space_(mathematics) dbr:Category_theory dbc:Hypotheses dbc:Conjectures dbr:N-group_(category_theory) dbc:Higher_category_theory dbc:Homotopy_theory dbr:Pursuing_Stacks dbr:∞-groupoid dbr:Grothendieck dbr:Kan_complex
dbp:id	homotopy+hypothesis (en)
dbp:mathStatement	A n-groupoid is exactly the same as a homotopy n-type. (en)
dbp:name	Homotopy hypothesis (en)
dbp:title	homotopy hypothesis (en)
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Math_theorem dbt:Topology dbt:Nlab dbt:Cite_arXiv dbt:Cite_conference dbt:Cite_journal dbt:Cite_web dbt:Cn dbt:Google_books dbt:R dbt:Reflist dbt:Short_description dbt:Category_theory
dct:subject	dbc:Hypotheses dbc:Conjectures dbc:Higher_category_theory dbc:Homotopy_theory
gold:hypernym	dbr:Spaces
rdfs:label	Homotopy hypothesis (en)
owl:sameAs	freebase:Homotopy hypothesis wikidata:Homotopy hypothesis dbpedia-global:Homotopy hypothesis
prov:wasDerivedFrom	wikipedia-en:Homotopy_hypothesis?oldid=1309634744&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Homotopy_hypothesis
is dbo:wikiPageWikiLink of	dbr:Alexander_Grothendieck dbr:List_of_things_named_after_Alexander_Grothendieck dbr:Homotopy_type_theory dbr:Homotopy_theory dbr:Category_of_topological_spaces dbr:Glossary_of_category_theory dbr:Topos dbr:N-group_(category_theory) dbr:Timeline_of_category_theory_and_related_mathematics dbr:∞-topos dbr:Fundamental_groupoid dbr:Derived_algebraic_geometry dbr:Pursuing_Stacks dbr:∞-groupoid
is foaf:primaryTopic of	wikipedia-en:Homotopy_hypothesis