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Topos-theoretic factorization of non-standard extensions

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Victoria Symposium on Nonstandard Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 369))

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References

  1. M. Barr, Exact Categories, in Barr, Grillet, and van Osdol: Exact Categories and Categories of Sheaves, Springer Lecture Notes, Vol. 236 (1971).

    Google Scholar 

  2. S. Eilenberg and G.M. Kelly, Closed Categories, Proc. Conf. Categorical Algebra (La Jolla 1965), Springer Verlag 1966.

    Google Scholar 

  3. J. Gray, The Meeting of Midwest Category Seminar in Zürich August 24–30, 1970, Reports of the Midwest Category Seminar V, Springer Lecture Notes Vol. 195 (1971).

    Google Scholar 

  4. G.M. Kelly, Adjunction for Enriched Categories, Reports of the Midwest Category Seminar III, Springer Lecture Notes Vol. 106 (1969).

    Google Scholar 

  5. A. Kock, Introduction to Functorial Semantics, mimeographed notes, The Bertrand Russell Memorial Logic Conference; Uldum, Denmark, August 1971.

    Google Scholar 

  6. A. Kock and C.J. Mikkelsen, Non-standard extensions in the theory of toposes, Aarhus Universitet Preprint Series 1971/72 No. 25.

    Google Scholar 

  7. A. Kock and C.J. Mikkelsen, Strongly faithful functors between toposes, in preparation.

    Google Scholar 

  8. A. Kock and G.C. Wraith, Elementary Toposes, Aarhus Universitet Lecture Notes Series No. 30 (1971).

    Google Scholar 

  9. F.W. Lawvere, An elementary theory of the category of sets, mimeographed, University of Chicago 1963.

    Google Scholar 

  10. F.W. Lawvere, Reports of the Conference of Mathematical Logic, Leicester 1965.

    Google Scholar 

  11. F.W. Lawvere, Equality in Hyperdoctrines and Comprehension Scheme as an Adjoint Functor, Proceedings of Symposia in Pure Mathematics, Vol. 17, AMS (1970).

    Google Scholar 

  12. F.W. Lawvere, Quantifiers and Sheaves, Actes, Congress International Math. 1970 (Nice), Tome 1, p. 329–334.

    Google Scholar 

  13. F.W. Lawvere and M. Tierney, to appear.

    Google Scholar 

  14. M. Machover and J. Hirschfeld, Lectures on Non-standard Analysis, Springer Lecture Notes Vol. 94 (1969).

    Google Scholar 

  15. C.J. Mikkelsen, Colimits in toposes, in preparation.

    Google Scholar 

  16. A. Robinson, Non-standard Analysis, North Holland 1966.

    Google Scholar 

  17. H. Volger, Logical categories, semantical categories, and topoi, to appear.

    Google Scholar 

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Albert Hurd Peter Loeb

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© 1974 Springer-Verlag

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Kock, A., Mikkelsen, C.J. (1974). Topos-theoretic factorization of non-standard extensions. In: Hurd, A., Loeb, P. (eds) Victoria Symposium on Nonstandard Analysis. Lecture Notes in Mathematics, vol 369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066007

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  • DOI: https://doi.org/10.1007/BFb0066007

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06656-9

  • Online ISBN: 978-3-540-37928-7

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