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Asscoli's theorem for topological categories

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Categorical Aspects of Topology and Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 915))

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Bibliography

  1. Bourbaki, N., General Topology, Part 2, Addison-Wesley Pub. Co., 1966.

    Google Scholar 

  2. Dubuc, E., Concrete quasitopoi, in Applications of Sheaves, (Proc. Durham Conf., 1977), Springer Lecture Notes in Math. 753 (1979), 239–254.

    Google Scholar 

  3. Eilenberg, S. and Kelly, G. M., Closed categories, in Proc. Conf. Cat. Alg, LaJolla, Calif. (1965), Springer-Verlag, New York (1966), 421–562.

    Google Scholar 

  4. Gray, J. W., Closed categories, lax limits, and homotopy limits, J. Pure Appl. Alg. (to appear).

    Google Scholar 

  5. Gray, J. W. Categorical aspects of the classical Ascoli theorems. Cahiers de Top. et Geom. Diff. (to appear).

    Google Scholar 

  6. Harder, A., Topologische Kategorien, Diplomarbeit, Math. Inst. der WWU Münster, 1974.

    Google Scholar 

  7. Herrlich, H., Topological functors, Gen. Topology Appl. 4 (1974), 125–142.

    Article  MATH  MathSciNet  Google Scholar 

  8. Herrlich, H., Cartesian closed topological categories, Math. Coll. Univ. Cape Town 9 (1974), 1–16.

    MathSciNet  Google Scholar 

  9. Herrlich, H., Topological structures, preprint.

    Google Scholar 

  10. Hoffmann, R.-E., Die Kategorielle Auffassung der Initial-und-Finaltopologie, preprint, Düsseldorf, 1972.

    Google Scholar 

  11. Hogbe-Nlend, H., Théorie des bornologies et applications, Springer Lecture Notes in Math. 213 (1971).

    Google Scholar 

  12. Isbell, J., Uniform Spaces, Math Surveys 12, Amer. Math. Soc., Providence, R. I., 1964.

    Book  MATH  Google Scholar 

  13. Kelley, J. L., General Topology, Van Nostrand Co., Inc., New York, 1955.

    MATH  Google Scholar 

  14. Lavendhomme, R., Algèbre Catégorique relative, I–IV, Sem. de Math. Pure, Inst. de Math. Pure et Appl. Univ. Cath. de Louvain, Rapport no 2, 3, 4, June–Sept. 1970, Belgium.

    Google Scholar 

  15. Page, W., Topological Uniform Structures, John Wiley and Sons, New York, 1978.

    MATH  Google Scholar 

  16. Popa, N., Topological and bornological tensorial products, Bucuresti: Editure Academiei Rep. Soc. Romania, 1976.

    Google Scholar 

  17. Poppe, H., Compactness in general function spaces, Deutscher Verlag der Wissenschaften, Berlin, 1974.

    MATH  Google Scholar 

  18. Schubert, H., Topology, Allyn and Bacon, Boston, 1968.

    Google Scholar 

  19. Wealbroeck, L., Topological vector spaces and algebras, Springer Lecture Notes in Math. 230 (1971).

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  21. Ahlfors, L. V., Complex Analysis, McGraw-Hill Book Co., New York, 1966.

    MATH  Google Scholar 

  22. Arzela, C., Sulle funzioni di linee, Memoria Accad. Sci. Bologna (5) 5 (1895), 225–244.

    Google Scholar 

  23. Arzela, C., Sul principio di Dirichlet, Rend. Ac. Sc. Bologna nouv. serie t. 1 (1896–1897), 71–84.

    Google Scholar 

  24. Ascoli, G., Le curve limite di una varietà data di curvi, Memorie Accad. Lincei (3) 18 (1883), 97–98.

    Google Scholar 

  25. Cronin, J., Differential Equations, Marcel Dekker, Inc. New York, 1980.

    MATH  Google Scholar 

  26. Franklin, J., Methods of Mathematical Economics, Springer Verlag, New York, 1980.

    MATH  Google Scholar 

  27. Hilbert, D., Über das Dirichletsche Prinzip, Math. Ann. 59 (1904), 161–186.

    Article  MATH  MathSciNet  Google Scholar 

  28. Monna, A. F., Dirichlet's Principle, a mathematical comedy of errors and its influence on the development of analysis. Oosthoek, Scheltema and Holkema, Utrecht, 1975. *** DIRECT SUPPORT *** A00J4389 00004

    MATH  Google Scholar 

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Authors and Affiliations

  1. University of Illinois at Urbana-Champaign, 61801, Urbana, Illinois, USA

    John W. Gray

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  1. John W. Gray
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B. Banaschewski

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© 1982 Springer-Verlag

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Gray, J.W. (1982). Asscoli's theorem for topological categories. In: Banaschewski, B. (eds) Categorical Aspects of Topology and Analysis. Lecture Notes in Mathematics, vol 915. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092873

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  • DOI: https://doi.org/10.1007/BFb0092873

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11211-2

  • Online ISBN: 978-3-540-39041-1

  • eBook Packages: Springer Book Archive

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