000			01681nam a22002057a 4500
003			OSt
005			20240925171951.0
008			190424b ||||| |||| 00| 0 eng d
020			_a9780521061193
040			_cTata Book House _aICTS-TIFR
050			_aQA169
100			_aFrancis Borceux
245			_aHandbook of categorical algebra 1 _b: basic category theory
260			_aCambridge: _bCambridge University Press, _c[c1994]
300			_a345 p.
490			_aEncyclopedia of Mathematics and its Applications _v50
505			_aIntroduction to this handbook 1 - The language of categories 2 - Limits 3 - Adjoint functors 4 - Generators and projectives 5 - Categories of fractions 6 - Flat functors and Cauchy completeness 7 - Bicategories and distributors 8 - Internal category theory
520			_aA Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various 'refinements' of the fundamental concepts of category and functor.
942			_2lcc _cBK
999			_c2648 _d2648