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Acyclic models and kan extensions

Part of the Lecture Notes in Mathematics book series (LNM,volume 86)

Keywords

  • Direct Summand
  • Direct Limit
  • Abelian Category
  • Homological Algebra
  • Adjoint Functor

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Bibliography

  1. André, M., Méthode simpliciale en algèbre homologique et algèbre commutative, (Lecture notes in Mathematics, #32), Springer, 1967.

    Google Scholar 

  2. Barr, M. and J. Beck, “Acyclic models and triples”, in; Conference on Categorical Algebra, pp.336–343, Springer, (1966).

    Google Scholar 

  3. Barr, M. and J. Beck, “Homology and standard constructions”, (to appear in Lecture notes in Mathematics.)

    Google Scholar 

  4. Dold, A., “Zur Homotopietheorie der Kettenkomplexe”, Math. Annalen, 140; 278–298, (1960).

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Dold, A., S. MacLane, U. Oberst, “Projective classes and acyclic models”, in; A. Dold, Heidelberg and Eckmann (eds.), Reports of the Midwest Category Seminar, (Lecture notes in Mathematics, #47); 78–91, Springer, 1967.

    Google Scholar 

  6. Eilenberg, S. and S. MacLane, “Acyclic models”, Am. J. Math., 75; 189–199, (1953).

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Grothendieck, A., “Sur quelques points d'algèbre homologique”, Tohoku, Math. J., 9; 119–221, (1957).

    MathSciNet  MATH  Google Scholar 

  8. Kan, D., “Adjoint Functors”, Trans. Amer. Math. Soc., 87; 295–329, (1958).

    MathSciNet  MATH  Google Scholar 

  9. MacLane, S., Homology, Springer, 1963.

    Google Scholar 

  10. Röhrl, H., “Satelliten halbexakter Funktoren”, Math. Zeitschrift, 79; 193–223, (1962).

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Ulmer, F., “Representable functors with values in arbitrary categories”, J. of Algebra, 8; 96–129, (1968).

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. -“Properties of dense and relative adjoint functors”, J. of Algebra, 8; 77–95, (1968).

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Ulmer, F. “Properties of Kan extensions”, Mim. Notes, E.T.H., (1966).

    Google Scholar 

  14. Ulmer, F. “Kan extensions, Cotriple and André (co) homology”, in; Lecture notes in mathematics, this volume.

    Google Scholar 

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© 1969 Springer-Verlag

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Ulmer, F. (1969). Acyclic models and kan extensions. In: Hilton, P.J. (eds) Category Theory, Homology Theory and their Applications I. Lecture Notes in Mathematics, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079391

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  • DOI: https://doi.org/10.1007/BFb0079391

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04605-9

  • Online ISBN: 978-3-540-36095-7

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