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gptkbp:instanceOf
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gptkb:mathematical_concept
|
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gptkbp:application
|
gptkb:quantum_field_theory
gptkb:Deformation_theory
gptkb:String_topology
Homological algebra
Algebraic structures on cohomology
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gptkbp:describes
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Operations with multiple inputs and one output
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gptkbp:field
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gptkb:Mathematics
gptkb:algebra
Category theory
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gptkbp:generalizes
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gptkb:Lie_algebras
gptkb:Associative_algebras
Commutative algebras
|
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gptkbp:hasAxiom
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gptkb:identity
Associativity
Symmetry (for symmetric operads)
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gptkbp:hasComponent
|
Collection of operations
Composition law
Identity operation
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gptkbp:hasType
|
Colored operad
Cyclic operad
Differential graded operad
Modular operad
Non-symmetric operad
Symmetric operad
Topological operad
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|
https://www.w3.org/2000/01/rdf-schema#label
|
Operads
|
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gptkbp:introduced
|
gptkb:J._Peter_May
|
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gptkbp:introducedIn
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1972
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gptkbp:notableExample
|
gptkb:Associative_operad
gptkb:Commutative_operad
gptkb:Endomorphism_operad
gptkb:Gerstenhaber_operad
gptkb:Lie_operad
gptkb:Little_disks_operad
gptkb:Poisson_operad
Modular operad
|
|
gptkbp:notablePublication
|
gptkb:Algebraic_Operads_by_Jean-Louis_Loday_and_Bruno_Vallette
gptkb:Operads_in_Algebra,_Topology_and_Physics
gptkb:The_Geometry_of_Iterated_Loop_Spaces
|
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gptkbp:relatedTo
|
Monoidal categories
PROPs
Symmetric monoidal categories
|
|
gptkbp:usedIn
|
gptkb:Algebraic_topology
gptkb:Algebraic_geometry
Homotopy theory
|
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gptkbp:bfsParent
|
gptkb:J._Peter_May
|
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gptkbp:bfsLayer
|
7
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