BIBLIOGRAPHY about DESCENT THEORY

  1. Preprint of talks given at Oberwolfach \yr Sep. 17-23 1995 from W. Tholen home page.
  2. J. Bénabou and J. Roubaud \paper Monades et Descente \jour Comptes Rendus Acad. Sc. Paris 270, série A \pages 96--98 \yr 1970 \lang French
  3. R. Betti \paper Adjointness in descent theory \jour J. Pure Appl. Algebra 116, No.1-3 \pages 41--47 \yr 1997
  4. I. Bucur \book Selected Topics in Algebra \publaddr D. Reidel Publishing Company (Dordrecht, Boston, Lancaster) \yr 1984
  5. J. Duskin\paper An Outline of a Theory of Higher Dimensional Descent \jour Bull. Soc. Math. de Belgique (Serie A) \vol Tome XLI Fasc. 2 \pages 249--277 \yr 1989
  6. \bysame \paper The Theory of Descent \paperinfo (xx+230 pp.) unpublished appendix
  7. \bysame \talk Triples and Descent preprint of talks given at Oberwolfach \yr Sep. 17-23 1995.
  8. A. Grothendieck\paper Technique de Déscente et Théoréms d'Existence en Géométrie Algébrique. Généralités. Déscente par Morphisms Fidélment Plat \inbook Séminaire Bourbaki, $12^e$ no.190 \yr 59--60 \lang French
  9. \bysame \paper Categories Fibrées et Déscente,Déscente Fidelment plat, and Déscente des Morphisms etales \inbook S.G.A. 1 exposé VI,VIII and IX,respectively Lec. Notes in Math. \#224 \yr 1971\lang French
  10. G. Janelidze and W. Tholen \paper Facets of descent. I. \jour [J] Appl. Categ. Struct. 2, No.3, \pages 245--281 \yr 1994.
  11. G. Janelidze and W. Tholen \paper Facets of descent. II. \jour [J] Appl. Categ. Struct. 5, No.3, \pages 229--248 \yr 1997
  12. A. Joyal and M. Tierney \paper An Extension of the Galois Theory of Grothendieck \jour Memoirs Amer. Math. Soc. 309 \yr 1984
  13. M .A. Knus, and M. Ojanguren \book Théorie de la Dé scente et Algébras de Azumaya \bookinfo Lec. Notes in Math. \#389 \yr 1974 \lang French
  14. W. Lawvere \book Theory of Categories over a Base Topos \publaddr Mimeographed notes, Perugia \yr 1972--73 \pages 30 and 70
  15. I. Moerdijk \paper Descent Theory for Toposes \jour Bull. Soc. Math. de Belgique (Series A)\vol Tome XLI Fasc. 2 \pages 373--391 \yr 1989
  16. M. Sobraland W. Tholen \paper Effective Descent Morphisms and Effective Equivalence Relations \inbook Can. Math. Soc. Conference Proceedings \vol 13 \pages 421--433 \yr 1992
  17. W.C. Waterhouse \book Introduction to Affine Group Schemes \bookinfo Graduate texts in math. \#66 \yr 1979 \publaddr Springer-Verlag (New York)

BIBLIOGRAPHY about CATEGORY THEORY

  1. J. Adamek, et al \book Abstract and Concrete Categories : The Joy of Cats \yr 1990
  2. J. Adamek, J. Rosicky \book Locally Presentable and Accessible Categories \bookinfo (London Mathematical Society Lecture Note Series, No 189) \yr 1994
  3. J. Adamek and V. Trnkova\book Automata and Algebras in Categories \bookinfo Mathematics and Its Applications; East European Series, \# 37 \yr 1990
  4. F. W. Anderson, K. R. Fuller \book Rings and Categories of Modules \bookinfo (Graduate Texts in Mathematics, Vol 13) \yr 1992
  5. M. A. Arbib \book Arrows, Structures, and Functors : The Categorical Imperative \yr 1975
  6. A. Asperti, G. Longo \book Categories, Types, and Structures : An Introduction to Category Theory for the Working Computer Scientist \bookinfo (Foundations of Computing) \yr 1992
  7. M. Barr \book Exact categories and categories of sheaves
  8. M. Barr and C.Wells \book Toposes, Triples and Theories \publaddr Springer-Verlag (New York) \publaddr (Grundlehren Der Mathematischen Wissenschaften, Band 278) \yr 1985
  9. \bysame \book *-Autonomous categories
  10. \bysame \book Category Theory for Computing Science \publaddr Prentice Hall \yr 1995
  11. J. B\'enabou\paper Introduction to bicategories\inbook Lec. Notes in Math. \#47 \pages 1--77 \yr 1967
  12. Francis Borceux \book Algebra in a Localic Topos With Application to Ring Theory \yr 1983
  13. G. M. Bergman, A. O. Hausknecht\book Cogroups and Co-Rings in Categories of Associative Rings \bookinfo (Mathematical Surveys and Monographs, No 45) \yr 1996
  14. T. S. Blyth \book Categories
  15. F. Borceux (Editor) \book Categorical Algebra and Its Applications \bookinfo Lec. Notes in Math. \#1348 \yr 1988
  16. \bysame \book Handbook of Categorical Algebra 1 : Basic Category Theory \bookinfo (Encyclopedia of Mathematics and Its Applications, Vol 50) Vol 1 \yr 1994
  17. \bysame \book Handbook of Categorical Algebra 2 : Categories and Structures \bookinfo (Encyclopedia of Mathematics and Its Applications, Vol 51) Vol 2 \yr 1994
  18. \bysame \book Handbook of Categorical Algebra 3 : Categories of Sheaves \bookinfo (Encyclopedia of Mathematics and Its Applications, Vol 52) Vol 3 \yr 1994
  19. K. A. Broughan \book Invariants for real-generated uniform and algebraic categories
  20. I. Bucur \book Introduction to the theory of categories and functors [by] Ionel Bucur and Aristide Deleanu with the collaboration of Peter J. Hilton
  21. W. H. Cornish \book Antimorphic action : categories of algebraic structures with involutions or anti-endomorphisms
  22. R. L. Crole \book Categories for Types \bookinfo (Cambridge Mathematical Textbooks) \yr 1994
  23. M. Demazure \paper Topolgies et Faisceaux\inbook S.G.A. 3 expos\'e IV, Lec. Notes in Math. \#151 \yr 1970 \lang French
  24. K. D. Dikranjan, W. Tholen\book Categorical Structure of Closure Operators : With Applications to Topology, Algebra and Discrete Mathematics \bookinfo (Mathematics and Its Applications) \yr 1995
  25. C.T.J. Dodson \book Categories, Bundles, and Spacetime Topology \bookinfo (Mathematics and Its Applications) \yr 1988
  26. J. Duskin \paper Variations on Beck's Tripleability Criterion \inbook Reports of the Midwest Cat. Sem. III, Lec. Notes in Math. \#106 \pages 74--129 \yr 1969
  27. \bysame \paper The Azumaya complex of a commutative ring \inbook Categorical algebra and its applications, Proc. 1st Conf., Louvain-la-Neuve/Belg. \bookinfo Lect. Notes Math. \#1348 \pages 107--117 \yr 1988
  28. \bysame \paper An outline of non-Abelian cohomology in a topos. I: The theory of bouquets and gerbes. \jour Cah. Topol. Geom. Differ. \#23 \pages 165--191 \yr 1982
  29. Y. Diers \book Categories of Commutative Algebras \yr 1992
  30. \bysame \book Categories of Boolean sheaves of simple algebras
  31. H. Ehrig, et al \book Categorical Methods in Computer Science : With Aspects from Topology \bookinfo Lec. Notes in Computer Science \#393 \yr 1990
  32. T. G. Faticoni \book Categories of Modules over Endomorphism Rings \bookinfo (Memoirs of the American Mathematical Society, No. 492) \yr 1993
  33. C. Faith \book Fpf Ring Theory : Faithful Modules and Generators of Mod-R \yr 1984
  34. M.P. Fourman, et al\book Applications of Categories in Computer Science \bookinfo London Math. Soc. Lec. Notes Series \#177 \publaddr Cambridge Univ. Press,(Cambridge,New york,Melbourne) \yr 1992
  35. P. J. Freyd \book Categories, Allegories \bookinfo (North-Holland Mathematical Library, 39) \yr 1990
  36. W. Fulton \book Categorical Framework for the Study of Singular Spaces \yr 1981
  37. E. Giuli (Editor) \book Categorical Topology : Proceedings of the L'Aquila Conference (1994) \yr 1996
  38. J. S. Golan \book ecomposition and Dimension in Module Categories \bokkinfo (Lecture Notes in Pure and Applied Mathematics, Volume 33) \yr 1977
  39. R. Gordon \book G-Categories \bookinfo (Memoirs of the American Mathematical Society, January 1993/Vol 101, No 482) \yr 1993
  40. J. W. Gray, A. Scedrov (Editor)\book Categories in Computer Science and Logic : Proceedings of the Ams-Ims-Siam Joint Summer Research Conference Held June 14-20, 1987 \yr 1989
  41. J. W. Gray (Editor) \book Mathematical Applications of Category Theory \bookinfo (Contemporary Mathematics Series Vol 30) \yr 1984
  42. D. Happel \book Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras \bookinfo (London Mathematical Society Lecture Notes Series, No 119) \yr 1988
  43. M. Harada \book Factor Categories With Applications to Direct Decomposition of Modules \yr 1983
  44. P. J. Higgins \book Notes on categories and groupoids
  45. G. Janelidze and W. Tholen \paper How Algebraic is the Change-of-Base Functor? \inbook Proc. Conf. Category Theory, Como 1990. Lec. Notes in Math. \#1488 \pages 174--186 \yr 1991
  46. G. Janelidze and M. C. Pedicchio \paper Internal categories and groupoids in congruence modular varieties \jour J. Algebra 193, No.2 Art. No.JA966970 \pages 552--570 \yr 1997
  47. G. M. Kelly \book Basic Concepts of Enriched Category Theory \bookinfo (London Mathematical Society Lecture Note Series, 64) \yr 1982
  48. \bysame \book Basic Concepts of Enriched Category Theory \bookinfo London Math. Soc. Lec. Notes Series \#64 \publaddr Cambridge Univ. Press,(Cambridge,New york,Melbourne)\yr 1982
  49. G.M. Kelly and R.H. Street \paper Review of the Elements of 2-categories \inbook Lec. Notes in Math. \#420 \yr 1974\pages 75--103
  50. F.W. Lawvere and S. Schanuel \book Conceptual Mathematics : A First Introduction to Categories \publaddr Cambridge University Press \yr 1997
  51. F. W. Lawvere publications: http://www.acsu.buffalo.edu/~wlawvere
  52. F. Linton\paper Applied Functorial Semantics, II \inbook Seminar on Triples and Categorical Homology Theory. Lec. Notes in Math. \#80 \pages 53--73 \yr 1969
  53. S. Mac Lane \paper Natural Associativity and Commutativity \publaddr Rice U. Studies \#49\pages 28--46\yr 1963
  54. \bysame\book Categories for the Working Mathematician \publaddr Springer-Verlag,(New York, Heidelberg, Berlin) \yr 1971
  55. M. Magid \book Module Categories for Analytic Groups \yr 1982
  56. M. Makkai, Robert Pare\book Accessible Categories : The Foundations of Categorical Model Theory (Contemporary Mathematics, Vol 104) \yr 1989 M. Makkai, G. Reyes \book First Order Categorical Logic : Model-Theoretical Methods in the Theory of Topoi and Related Categories \bookinfo (Lecture Notes in Mathematics ; 611) \yr 1977
  57. C. McLarty \book Elementary Categories, Elementary Toposes\bookinfo (Oxford Logic Guides, 21) \yr 1995
  58. P. W. Michor \book Functors and categories of Banach spaces : tensor products, operator ideals, and functors on categories of Banach spaces
  59. A. Obtu \book The logic of categories of partial functions and its applications
  60. J. C. Oxtoby \book Measure and Category : A Survey of the Analogies Between Topological and Measure Spaces Vol 2 \yr 1980
  61. R.C. Par\'e\paper Absolute Coequalizers\inbook Lec. Notes in Math. \#86\pages 132--145\yr 1969
  62. M. Petrich \book Categories of algebraic systems : vector and projective spaces, semigroups, rings, and lattices
  63. M. Pfender \book Universal algebra in s-monoidal categories
  64. B. C. Pierce \book Basic Category Theory for Computer Scientists (Foundations of Computing) \yr 1991
  65. D.H. Pitt, et al \book Category Theory and Computer Science \bookinfo Paris, France, September 3-6, 1991 Proceedings (Lecture Notes in Computer Science, Vol 530) \yr 1991
  66. \bysame \book Category Theory and Computer Science \bookinfo Manchester, Uk, September 5-8, 1989 Proceedings (Lecture Notes in Computer Science, 389) \yr 1989
  67. \bysame \book Category Theory and Computer Programming \bookinfo (Lecture Notes in Computer Science, Vol 240) \yr 1986
  68. G. Preuss \book Theory of Topological Structures : An Approach to Categorical Topology \bookinfo (Mathematics and Its Applications) \yr 1988
  69. S. E. Rodabaugh, et al \book Applications of Category Theory to Fuzzy Subsets \bookinfo Theory and Decision Library. Series B, Mathematical and Statistical Methods, Vol. \#14 \yr 1992
  70. A.W. Roscoe, et al \book Topology and Category Theory in Computer Science \yr 1991
  71. B. Rydeheard \book Computational Category Theory \bookinfo (Prentice Hall International Series in Computer Science) \yr 1988
  72. K. V. Sankrithi \book An Introduction to Category Theory \yr 1981
  73. A. Scedrov \book Forcing and Classifying Topoi \bookinfo (Memoirs of the American Mathematical Society, Vol 48, No 295) \yr 1985
  74. R. A. G. Seely \book Category Theory 1991 \bookinfo Proceedings of an International Summer Category Theory Meeting, Held June 23-30, 1991 (Conference Proceedings, Vol 13) \yr 1992
  75. H. Schubert \book Categories
  76. R.H. Street \paper The Formal Theory of Monads \jour J. Pure Appl. Algebra 2 \pages 149--168\yr 1972
  77. J. R. Strooker \book Introduction to categories, homological algebra, and sheaf cohomology
  78. W. V. Vasconcelos \book Divisor theory in module categories
  79. Alexander Von Eye , et al \book Categorical Variables in Developmental Research : Methods of Analysis \yr 1996
  80. M. B. Wischnewsky \book On regular topological algebras over arbitrary base-categories
  81. B. Zilber \book Uncountably Categorical Theories \bookinfo (Translations of Mathematical Monographs, Vol 117) \yr 1997

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