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Galois connections

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Mathematical Foundations of Programming Semantics (MFPS 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 239))

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References

  1. G. Birkhoff, Lattice Theory. Amer. Math. Soc. Collog. Publ. 25 (1940).

    Google Scholar 

  2. G.C.L. Brümmer, Topological functors and structure functors. Springer Lecture Notes Math. 540 (1976) 109–135.

    Google Scholar 

  3. C.J. Everett, Closure operators and Galois theory in lattices. Trans. Amer. Math. Soc. 55 (1944) 514–525.

    Google Scholar 

  4. H. Herrlich, Factorizations of morphisms f: B → FA. Math. Z. 114 (1970) 180–186.

    Google Scholar 

  5. J.R. Isbell, Top and its adjoint relatives. Gen. Topology and its Relations to Modern Analysis and Algebra (Prague 1971), 143–154.

    Google Scholar 

  6. A. Melton and G.E. Strecker, Structures supporting Galois connections. Preprint.

    Google Scholar 

  7. S. Mac Lane, Categories for the Working Mathematician. Springer-Verlag 1971.

    Google Scholar 

  8. O. Ore, Galois connexions. Trans. Amer. Math. Soc. 55 (1944) 493–513.

    Google Scholar 

  9. G. Pickert, Bemerkungen über Galois-Verbindungen. Archiv Math. 3 (1952) 285–289.

    Google Scholar 

  10. D. Pumplün, Kategorien Vorlesungsskript Univ. Münster 1972.

    Google Scholar 

  11. J. Schmidt, Beiträge zur Filtertheorie II. Math. Nachr. 10 (1953) 197–232.

    Google Scholar 

  12. O. Wyler, On the categories of general topology and topological algebra. Archiv Math. 22 (1971) 7–17.

    Google Scholar 

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Austin Melton

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© 1986 Springer-Verlag Berlin Heidelberg

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Herrlich, H., Hušek, M. (1986). Galois connections. In: Melton, A. (eds) Mathematical Foundations of Programming Semantics. MFPS 1985. Lecture Notes in Computer Science, vol 239. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16816-8_28

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  • DOI: https://doi.org/10.1007/3-540-16816-8_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16816-4

  • Online ISBN: 978-3-540-44861-7

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