000			03120nam a22005055i 4500
001			978-1-4419-1524-5
003			DE-He213
005			20140220084506.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9781441915245 _9978-1-4419-1524-5
024	7		_a10.1007/978-1-4419-1524-5 _2doi
050		4	_aQA169
072		7	_aPBC _2bicssc
072		7	_aPBF _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.6 _223
100	1		_aBaez, John C. _eeditor.
245	1	0	_aTowards Higher Categories _h[electronic resource] / _cedited by John C. Baez, J. Peter May.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aThe IMA Volumes in Mathematics and its Applications, _x0940-6573 ; _v152
505	0		_aLectures on -Categories and Cohomology -- A Survey of (∞, 1)-Categories -- Internal Categorical Structures in Homotopical Algebra -- A 2-Categories Companion -- Notes on 1- and 2-Gerbes -- An Australian Conspectus of Higher Categories.
520			_aThe purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aTopology.
650		0	_aAlgebraic topology.
650	1	4	_aMathematics.
650	2	4	_aCategory Theory, Homological Algebra.
650	2	4	_aAlgebraic Topology.
650	2	4	_aTopology.
700	1		_aMay, J. Peter. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441915238
830		0	_aThe IMA Volumes in Mathematics and its Applications, _x0940-6573 ; _v152
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-1524-5
912			_aZDB-2-SMA
999			_c110415 _d110415