PlanetPhysics/Algebraic Topology and QAT Bibliography for Categories

This is an extensive, but not intended to be comprehensive, list of relevant, selected references for several areas of both abstract and applied mathematics. A more extensive bibliography on category theory can be found on the web at: Plato, Stanford Encyclopedia of Philosophy web site.

Literature for the following areas of mathematics: edit

All Sources edit

[1][2][3][3][4][5][5][6][7][8][9][10][11][12][13][14][15][15][16][17][18][19][20][20][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][89][90][91][92][93][94][95][96][97][98][99][100][101][102][103][104][105][106][107][108][109][110][111][112][113][114][115][116][117][118][119][120][121][122][123][124][125][126][127][128][129][130][131][132][133][134][135][136][137][138][139][140][141][142][143][144][145][146][147][148][149][150][151][152][153][154][155][156][157][158][159][160][161][162][163][164][165][166][167][168][169][170][171][172][173][174][175][176][177][178][179][180][181][182][183][184][185][186][187][188][189][190][191][192][193][194][195][195][196][197][198][199][200][201][202][203][204][205][206][207][208][209][210][203][211][212][213][214][215][216][217][218][219][220][211][221][222][223][224][225][226][227][228][229][230][231][232][233][234][235][236][237][238][239][240][241][242][243][244][245][246][247][245][244][248][249][250][251][252][253][254][255][256][257][258][259][260][261][262][263][264][265][266][267][268][269][270][271][272][273][274][275][276][277][278][279][280][281][282][283][284][285][286][286][287][288][289][290][291][292][293][294][295][296][297][298][299][300][301][302][303][304][305][306][307][308][309][310][311][312][313][314][315][316][317][318][319][320][321][322]Cite error: Invalid <ref> tag; name cannot be a simple integer. Use a descriptive title [323][324][325][326][327][328][329][330][331][332][333][334][335][336][337][338][339][340][341]

References edit

  1. Ad\'amek, J.. et al., Locally Presentable and Accessible Categories. , Cambridge: Cambridge University Press (1994).
  2. Alfsen, E.M. and F. W. Schultz: \emph{Geometry of State Spaces of Operator Algebras}, Birkhauser, Boston--Basel--Berlin (2003).
  3. 3.0 3.1 Atiyah, M.F. 1956. On the Krull-Schmidt theorem with applications to sheaves. Bull. Soc. Math. France , 84 : 307--317. Cite error: Invalid <ref> tag; name "AMF56" defined multiple times with different content
  4. Awodey, S. \& Butz, C., 2000, Topological Completeness for Higher Order Logic., Journal of Symbolic Logic, 65, 3, 1168--1182.
  5. 5.0 5.1 Awodey, S. \& Reck, E. R., 2002, Completeness and Categoricity I. Nineteen-Century Axiomatics to Twentieth-Century Metalogic., History and Philosophy of Logic, 23, 1, 1--30. Cite error: Invalid <ref> tag; name "AS-RER2k2" defined multiple times with different content
  6. Awodey, S., 1996, Structure in Mathematics and Logic: A Categorical Perspective, Philosophia Mathematica , {\mathbf 3}, 209-237.
  7. Awodey, S., 2004, An Answer to Hellman's Question: Does Category Theory Provide a Framework for Mathematical Structuralism., Philosophia Mathematica , {\mathbf 12}, 54-64.
  8. Awodey, S., 2006, Category Theory , Oxford: Clarendon Press.
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  14. Baianu, I.C.: 1970, Organismic Supercategories: II. On Multistable Systems. Bulletin of Mathematical Biophysics , 32 : 539-561.
  15. 15.0 15.1 Baianu, I.C.: 1971a, Organismic Supercategories and Qualitative Dynamics of Systems. Ibid. , 33 (3), 339--354. Cite error: Invalid <ref> tag; name "ICB4" defined multiple times with different content
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  39. Bell, J. L., 1982, Categories, Toposes and Sets, Synthese ,{\mathbf 51}, 3, 293--337.
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  41. Bell, J. L., 1988, Toposes and Local Set Theories: An Introduction , Oxford: Oxford University Press.
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  44. Blass, A. and Scedrov, A., 1983, Classifying Topoi and Finite Forcing , Journal of Pure and Applied Algebra, 28, 111--140.
  45. Blass, A. and Scedrov, A., 1989, Freyd's Model for the Independence of the Axiom of Choice, Providence: AMS.
  46. Blass, A. and Scedrov, A., 1992, Complete Topoi Representing Models of Set Theory, Annals of Pure and Applied Logic , {\mathbf 57}, no. 1, 1-26.
  47. Blass, A., 1984, The Interaction Between Category Theory and Set Theory., Mathematical Applications of Category Theory, 30, Providence: AMS, 5-29.
  48. Blute, R. \& Scott, P., 2004, Category Theory for Linear Logicians., in Linear Logic in Computer Science
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Classification: AMS MSC: 00A15 (General :: General and miscellaneous specific topics :: Bibliographies) 03-00 (Mathematical logic and foundations :: General reference works ) 18-00 (Category theory; homological algebra :: General reference works ) 18C99 (Category theory; homological algebra :: Categories and theories :: Miscellaneous) 18A05 (Category theory; homological algebra :: General theory of categories and functors :: Definitions, generalizations) 18A30 (Category theory; homological algebra :: General theory of categories and functors :: Limits and colimits ) 18A25 (Category theory; homological algebra :: General theory of categories and functors :: Functor categories, comma categories) 18C99 (Category theory; homological algebra :: Categories and theories :: Miscellaneous) 18A40 (Category theory; homological algebra :: General theory of categories and functors :: Adjoint functors ) 55U30 (Algebraic topology :: Applied homological algebra and category theory :: Duality) 92B05 (Biology and other natural sciences :: Mathematical biology in general :: General biology and biomathematics) 92B10 (Biology and other natural sciences :: Mathematical biology in general :: Taxonomy, statistics) 92B99 (Biology and other natural sciences :: Mathematical biology in general :: Miscellaneous) msc:55-01, msc:18B40, msc:20-XX, msc:55Nxx, msc:55Pxx, msc:20L05, msc:20Kxx, msc:20K45