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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:defines
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category with morphisms between morphisms at all levels, satisfying associativity and identity up to higher morphisms
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gptkbp:field
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gptkb:category_theory
higher category theory
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gptkbp:firstAppearance
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1980s
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gptkbp:generalizes
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gptkb:dictionary
2-category
n-category
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gptkbp:hasApplication
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gptkb:quantum_field_theory
gptkb:motivic_homotopy_theory
derived algebraic geometry
categorification
stable homotopy theory
higher stacks
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gptkbp:hasDefinitionVariant
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gptkb:(∞,n)-category
gptkb:strict_∞-category
gptkb:weak_∞-category
(∞,1)-category
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gptkbp:hasProperty
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morphisms between morphisms at all levels
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https://www.w3.org/2000/01/rdf-schema#label
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∞-category
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gptkbp:notableContributor
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gptkb:Alexander_Grothendieck
gptkb:Jacob_Lurie
gptkb:André_Joyal
gptkb:Carlos_Simpson
gptkb:Ross_Street
gptkb:Tom_Leinster
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gptkbp:referencedIn
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Carlos Simpson, Homotopy theory of higher categories
André Joyal, Quasi-categories and Kan complexes
Jacob Lurie, Higher Topos Theory
Tom Leinster, Higher Operads, Higher Categories
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gptkbp:relatedConcept
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gptkb:homotopy_type_theory
gptkb:Segal_space
gptkb:quasi-category
model category
operad
simplicial set
higher topos theory
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gptkbp:usedIn
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gptkb:topology
mathematical physics
homotopy theory
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gptkbp:bfsParent
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gptkb:∞-categories
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gptkbp:bfsLayer
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8
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