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024 7 $a10.1007/978-3-030-61203-0
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100   $a20210523d2020      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aInvolutive category theory /$fDonald Yau
205   $a1st ed. 2020.
210  1$aCham, Switzerland :$cSpringer,$d[2020]
210  4$d©2020
215   $a1 online resource (XII, 243 p. 197 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2279
311   $a3-030-61202-3 
320   $aIncludes bibliographical references and index.
327   $aCategory Theory -- Involutive Categories -- Coherence of Involutive Categories -- Involutive Monoidal Categories -- Coherence of Involutive Monoidal Categories -- Coherence of Involutive Symmetric Monoidal Categories -- Categorical Gelfand-Naimark-Segal Construction -- Involutive Operads.
330   $aThis monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge applications. Additionally, the author?s own recent advances in the area are featured, never having appeared previously in the literature. The opening chapters offer an introduction to basic category theory, ideal for readers new to the area. Chapters three through five feature previously unpublished results on coherence and strictification of involutive categories and involutive monoidal categories, showcasing the author?s state-of-the-art research. Chapters on coherence of involutive symmetric monoidal categories, and categorical GNS construction follow. The last chapter covers involutive operads and lays important coherence foundations for applications to algebraic quantum field theory. With detailed explanations and exercises throughout, Involutive Category Theory is suitable for graduate seminars and independent study. Mathematicians and mathematical physicists who use involutive objects will also find this a valuable reference.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2279
606   $aCategories (Mathematics)
615  0$aCategories (Mathematics)
676   $a512.62
700   $aYau$b Donald Y$g(Donald Ying),$f1977-$0721399
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bUtOrBLW
906   $aBOOK
912   $a9910484977503321
996   $aInvolutive Category Theory$91768627
997   $aUNINA