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[null,"1.","Record Nr.",null,"UNISA996466481503316"]
[null,null,"Autore",null,"Fresse Benoit"]
[null,null,"Titolo",null,"Modules over Operads and Functors [[electronic resource] /] / by Benoit Fresse"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009"]
[null,null,"ISBN",null,"3-540-89056-4"]
[null,null,"Edizione",null,"[1st ed. 2009.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 314 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1967"]
[null,null,"Classificazione",null,"18D5055P4818G5518A25"]
[null,null,"Disciplina",null,"512.42"]
[null,null,"Soggetti",null,"Algebra"]
[{"$nulls":4},"Algebraic topology"]
[{"$nulls":4},"Category theory (Mathematics)"]
[{"$nulls":4},"Homological algebra"]
[{"$nulls":4},"Algebraic Topology"]
[{"$nulls":4},"Category Theory, Homological Algebra"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Categorical and operadic background -- Symmetric monoidal categories for operads -- Symmetric objects and functors -- Operads and algebras in symmetric monoidal categories -- Miscellaneous structures associated to algebras over operads -- The category of right modules over operads and functors -- Definitions and basic constructions -- Tensor products -- Universal constructions on right modules over operads -- Adjunction and embedding properties -- Algebras in right modules over operads -- Miscellaneous examples -- Homotopical background -- Symmetric monoidal model categories for operads -- The homotopy of algebras over operads -- The (co)homology of algebras over operads -- The homotopy of modules over operads and functors -- The model category of right modules -- Modules and homotopy invariance of functors -- Extension and restriction functors and model structures -- Miscellaneous applications -- Appendix: technical verifications -- Shifted modules over operads and functors -- Shifted functors and pushout-products -- Applications of pushout-products of shifted functors."]
[null,null,null,"Sommario/riassunto","The notion of an operad supplies both a conceptual and effective device to handle a variety of algebraic structures in various situations. Operads were introduced 40 years ago in algebraic topology in order to "]
[{"$nulls":4},"model the structure of iterated loop spaces. Since then, operads have been used fruitfully in many fields of mathematics and physics. This monograph begins with a review of the basis of operad theory. The main purpose is to study structures of modules over operads as a new device to model functors between categories of algebras as effectively as operads model categories of algebras."]