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Directed colimits and sheaves in some non-abelian categories

Part of the Lecture Notes in Mathematics book series (LNM,volume 195)

Keywords

  • Inverse Image
  • Abelian Category
  • Finite Limit
  • Abelian Case
  • Regular Epimorphism

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References

  1. M. Barr. Coequalizers and free triples. Math. Z. 116 (1970) 307–322.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. Barr. Non-abelian full embedding, I. (to appear)

    Google Scholar 

  3. M. Barr. Non-abelian full embedding, II. (to appear)

    Google Scholar 

  4. J.W. Gray. Sheaves with values in a category. Topology 3 (1965) 1–18 [also, Notes, Columbia University (1962)].

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. P.A. Grillet. Morphismes spéciaux et décompositions, C.R. Acad. Sci. Paris 266 (1968) sér.A 397–398; Quelques propriétés des catégories non-abéliennes, ibid. 550–552; La suite exacte d'homologie dans une catégorie non-abélienne, ibid. 604–606.

    Google Scholar 

  6. A. Grothendieck. Sur quelques points d'Algèbre homologique. Tohuku Math. J. 9 (1957) 119–221.

    MathSciNet  MATH  Google Scholar 

  7. A. Heller and K.A. Rowe. On the category of sheaves. Amer. J. Math. 84 (1962) 205–216.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. P. Hilton. Catégories non-abéliennes. Notes, Université de Montréal (1964).

    Google Scholar 

  9. J.R. Isbell. Subobjects, adequacy, completeness and catégories of algebras. Rozprawy Mat. 36 (1964) 32pp.

    Google Scholar 

  10. J.R. Isbell. Structure of categories. Bull. Amer. Math. Soc. 72 (1966) 619–655.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. G.M. Kelly. Monomorphisms, epimorphisms and pullbacks. J. Austral. Math. Soc. 9 (1969) 124–142.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J. Kennison. Full reflective subcategories and generalized coverings. Ill. J. Math. 12 (1968) 353–365.

    MathSciNet  MATH  Google Scholar 

  13. F.V. Lawvere. Functorial semantics of algebraic theories. (Doct. Diss.) Columbia University (1963).

    Google Scholar 

  14. S. MacLane. Groups, categories and duality. Proc. Nat Acad. Sci. USA 34 (1948) 263–267.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. S. MacLane. An algebra of additive relations. Proc. Nat. Acad. Sci. USA 47 (1961) 1043–1051.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. S. MacLane. Homology. Springer, New York, 1963.

    CrossRef  MATH  Google Scholar 

  17. E.G. Manes. A triple miscellany: some aspects of the theory of algebras over a triple (Doc. Diss.). Wesleyan University, 1967.

    Google Scholar 

  18. B. Mitchell. Theory of categories. Academic Press, 1965.

    Google Scholar 

  19. D. Puppe. Korrespondenzen in Abelschen Kategorien. Math. Ann. 148 (1962) 1–30.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. D.H. VanOsdol. Sheaves of algebras (to appear).

    Google Scholar 

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© 1971 Springer-Verlag

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Grillet, P.A. (1971). Directed colimits and sheaves in some non-abelian categories. In: Gray, J.W. (eds) Reports of the Midwest Category Seminar V. Lecture Notes in Mathematics, vol 195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072307

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  • DOI: https://doi.org/10.1007/BFb0072307

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