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Higher dimensional torsors and the cohomology of topoi : The abelian theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 753)

Keywords

  • Simplicial Object
  • Abelian Category
  • Exact Category
  • Abelian Theory
  • Terminal Object

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References

  1. Verdier, J.-L., et al.: Théorie des Topos et Cohomologie Etale des Schemas (SGA 4). Lecture Notes in Mathematics 269. Berlin and New York: Springer 1972

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  2. Grothendieck, A.: Sur quelques points d'algèbre homologique. Tôhoku Math. J. (2) 9, 119–221 (1957)

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  3. Giraud, J.: Cohomologie nonabélienne. Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen 179. Berlin and New York: Springer 1971

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  4. Glenn, P.: Realization of cohomology classes by torsors under hypergroupoids. Ph.D. Thesis. S.U.N.Y. Buffalo (June, 1977)

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  5. Duskin, J.: Simplicial methods and the interpretation of "triple" cohomology. Memoirs Amer. Math. Soc. 163 (first of two numbers) (1975)

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  6. Smith, J.D.H.: Mal'cev Varieties. Lecture Notes in Mathematics, 554. Berlin and New York: Springer 1976

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  7. Barr, M., et al.: Exact Categories and Categories of Sheaves. Lecture Notes in Mathematics, 236. Berlin and New York: Springer 1971

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  8. Keane, F.: Derived Functors and Algebraic K-theory, in Algebraic K-theory I. Lecture Notes in Mathematics, 341, 166–176. Berlin and New York: Springer 1973

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© 1979 Springer-Verlag

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Duskin, J. (1979). Higher dimensional torsors and the cohomology of topoi : The abelian theory. In: Fourman, M., Mulvey, C., Scott, D. (eds) Applications of Sheaves. Lecture Notes in Mathematics, vol 753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061822

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  • DOI: https://doi.org/10.1007/BFb0061822

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09564-4

  • Online ISBN: 978-3-540-34849-8

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