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Toposes are monadic over categories

Part of the Lecture Notes in Mathematics book series (LNM,volume 962)

Keywords

  • Monoidal Category
  • Left Adjoint
  • Logical Functor
  • Graphical Algebra
  • Algebraic Aspect

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References

  1. A. Burroni, Algèbres graphiques, 3éme colloque sur les catégories, Cahiers de Topologie et Géométrie Différentielle 23 (1981), 249–265.

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  2. J. Lambek, Deductive systems and categories II, Lecture Notes in Mathematics 86 (1969), 76–122.

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  3. J. Lambek, From types to sets, Advances in Math. 36(1980), 113–164.

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  4. J. Lambek and P. Scott, Intuitionist type theory and the free topos, J. Pure and Applied Algebra 19 (1980), 576–619.

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  5. J. Lambek and P. Scott, Algebraic aspects of topos theory, 3éme colloque sur les catégories, Cahiers de Topologic et Géométrie Différentielle 22 (1981), 129–140.

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  6. F.E.J. Linton, An outline of functorial semantics, Lecture Notes in Mathematics 80 (1969), 7–52.

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  7. S. MacLane, Categories for the working mathematician (Springer, New York, 1971).

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© 1982 Springer-Verlag

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Lambek, J. (1982). Toposes are monadic over categories. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066895

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  • DOI: https://doi.org/10.1007/BFb0066895

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11961-6

  • Online ISBN: 978-3-540-39550-8

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