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Some topos theoretic concepts of finiteness

  • Part III (Presented At A Conference In Berlin, October 1973, Organized By Ch. Maurer; Manuscripts Received By The Editors In June 1974)
  • Conference paper
  • First Online:
Model Theory and Topoi

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 445))

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Bibliography

  1. M. Artin, A. Grothendieck, and J.L. Verdier, Théorie des topos et cohomologie etale des schemas (SGA 4), Springer Lecture Notes Vol. 269 and 270 (1973).

    Google Scholar 

  2. M. Barr, Exact categories, in Barr, Grillet, and van Osdol, Exact categories and categories of sheaves, Springer Lecture Notes Vol. 236 (1971).

    Google Scholar 

  3. J. Benabou, Categories et logiques faibles, Oberwolfach Tagungsbericht 30/1973.

    Google Scholar 

  4. G. Birkhoff and O. Frink, Representation of lattices by sets, Trans.Amer.Math.Soc. 64, 299–316 (1948).

    Article  MathSciNet  MATH  Google Scholar 

  5. P.M. Cohn, Universal algebra, Harper and Row 1965.

    Google Scholar 

  6. K.-H. Diener, Über zwei Birkhoff-Frink'sche Struktursätze der allgemeinen Algebra, Archiv der Math. (Basel) 7, 339–345 (1956).

    Article  MathSciNet  MATH  Google Scholar 

  7. P. Gabriel and F. Ulmer, Lokal präsentierbare Kategorien, Springer Lecture Notes Vol. 221 (1971).

    Google Scholar 

  8. A. Kock, Strong functors and monoidal monads, Archiv der Math. (Basel) 23, 113–120 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  9. A. Kock and G.C. Wraith, Elementary toposes, Aarhus Lecture Notes Series No. 30 (1971).

    Google Scholar 

  10. C. Kuratowski, Sur la notion d'énsemble fini, Fund.Math. 1 129–131 (1920).

    Google Scholar 

  11. F.W. Lawvere, Continuously variable sets; Algebraic geometry = Geometric logic, Preprint, Perugia 1973 (to appear in Proc.of the Logic Coll., Bristol 1973).

    Google Scholar 

  12. P. Lecouturier, Quantificateurs dans les topos élémentaires, Preprint, Université Nationale du Zaire, Kinshasa 1971–72.

    Google Scholar 

  13. C.J. Mikkelsen, Thesis, to appear.

    Google Scholar 

  14. C.J. Mikkelsen, On the internal completeness of elementary topoi, Oberwolfach Tagungsbericht 30/1973.

    Google Scholar 

  15. W. Mitchell, Boolean topoi and the theory of sets, Journal of pure and appl.algebra 2, 261–274 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  16. G. Osius, The internal and external aspect of logic and set theory in elementary topoi, Oberwolfach Tagungsbericht 30/1973.

    Google Scholar 

  17. J. Schmidt, Über die Rolle der transfiniten Schlussweisen in einer allgemeinen Idealtheorie, Math.Nachr. 7, 165–182 (1952).

    Article  MathSciNet  MATH  Google Scholar 

  18. J. Schmidt, Mengenlehre, Bibliographisches Institut Mannheim, 1966.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Aarhus Universitet, Aarhus, Denmark

    A. Kock, P. Lecouturier & C. J. Mikkelsen

  2. Université Nationale du Zaïre, Kinshasa, Congo

    A. Kock, P. Lecouturier & C. J. Mikkelsen

Authors
  1. A. Kock
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  2. P. Lecouturier
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  3. C. J. Mikkelsen
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Editor information

F. William Lawvere Christian Maurer Gavin C. Wraith

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© 1975 Springer-Verlag

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Kock, A., Lecouturier, P., Mikkelsen, C.J. (1975). Some topos theoretic concepts of finiteness. In: Lawvere, F.W., Maurer, C., Wraith, G.C. (eds) Model Theory and Topoi. Lecture Notes in Mathematics, vol 445. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061297

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  • DOI: https://doi.org/10.1007/BFb0061297

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07164-8

  • Online ISBN: 978-3-540-37495-4

  • eBook Packages: Springer Book Archive

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