000			03561nam a22004933i 4500
001			EBC5110284
003			MiAaPQ
005			20240729131535.0
006			m o d |
007			cr cnu||||||||
008			240724s2017 xx o ||||0 eng d
020			_a9781470441357 _q(electronic bk.)
020			_z9781470425760
035			_a(MiAaPQ)EBC5110284
035			_a(Au-PeEL)EBL5110284
035			_a(CaPaEBR)ebr11491786
035			_a(OCoLC)1005658259
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA169 .G363 2017
082	0		_a512.62
100	1		_aGambino, Nicola.
245	1	0	_aOn Operads, Bimodules and Analytic Functors.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2017.
264		4	_c©2017.
300			_a1 online resource (122 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.249
505	0		_aCover -- Title page -- Introduction -- Chapter 1. Background -- 1.1. Review of bicategory theory -- 1.2. \catV-categories and presentable \catV-categories -- 1.3. Distributors -- Chapter 2. Monoidal distributors -- 2.1. Monoidal \catV-categories and \catV-rigs -- 2.2. Monoidal distributors -- 2.3. Symmetric monoidal \catV-categories and symmetric \catV-rigs -- 2.4. Symmetric monoidal distributors -- Chapter 3. Symmetric sequences -- 3.1. Free symmetric monoidal \catV-categories -- 3.2. -distributors -- 3.3. Symmetric sequences and analytic functors -- 3.4. Cartesian closure of categorical symmetric sequences -- Chapter 4. The bicategory of operad bimodules -- 4.1. Monads, modules and bimodules -- 4.2. Tame bicategories and bicategories of bimodules -- 4.3. Monad morphisms and bimodules -- 4.4. Tameness of bicategories of symmetric sequences -- 4.5. Analytic functors -- Chapter 5. Cartesian closure of operad bimodules -- 5.1. Cartesian closed bicategories of bimodules -- 5.2. Monad theory in tame bicategories -- 5.3. Monad theory in bicategories of bimodules -- 5.4. Bicategories of bimodules as Eilenberg-Moore completions -- Appendix A. A compendium of bicategorical definitions -- Appendix B. A technical proof -- B.1. Preliminaries -- B.2. The proof -- Bibliography -- Back Cover.
520			_aThe authors develop further the theory of operads and analytic functors. In particular, they introduce the bicategory \operatorname{OpdBim}_{\mathcal{V}} of operad bimodules, that has operads as 0-cells, operad bimodules as 1-cells and operad bimodule maps as 2-cells, and prove that it is cartesian closed. In order to obtain this result, the authors extend the theory of distributors and the formal theory of monads.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aOperads.
650		0	_aFunctor theory.
650		0	_aAlgebra, Homological.
655		4	_aElectronic books.
700	1		_aJoyal, André.
776	0	8	_iPrint version: _aGambino, Nicola _tOn Operads, Bimodules and Analytic Functors _dProvidence : American Mathematical Society,c2017 _z9781470425760
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5110284 _zClick to View
999			_c131796 _d131796