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Connectednesses and disconnectednesses in S-Near

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Categorical Aspects of Topology and Analysis

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References

  1. A. V. Arhangel'skii and R. Wiegandt, Connectednesses and and disconnectednesses in topology, Gen. Topology and Appl. 5 (1975), 9–33.

    Article  MathSciNet  Google Scholar 

  2. H. L. Bentley, The role of nearness spaces in topology, Categorical Topology (Proc. Conf., Mannheim 1975), Lecture Notes in Math. 540, Springer, Berlin (1976), 1–22.

    Chapter  Google Scholar 

  3. H. L. Bentley, H. Herrlich and W. A. Robertson, Convenient categories for topologists, Comm. Math. Univ. Carolinae 17 (1976), 207–227.

    MATH  MathSciNet  Google Scholar 

  4. G. Choquet, Convergences, Ann. Univ. Grenoble Sect. Sci. Math. Phys. (NS) 23 (1948), 57–112.

    MATH  MathSciNet  Google Scholar 

  5. C. H. Dowker, Homology groups of relations, Ann. of Math. 56 (1952), 84–95.

    Article  MATH  MathSciNet  Google Scholar 

  6. H. R. Fischer, Limesräume, Math. Ann. 137 (1959), 269–303.

    Article  MATH  MathSciNet  Google Scholar 

  7. H. Herrlich, Topological structures, Math. Centre Tracts 52 (1974), 59–122.

    MathSciNet  Google Scholar 

  8. H. Herrlich, G. Salicrup and R. Vázquez, Light factorization structures, Quaest. Math. 3 (1979), 189–213.

    Article  MATH  Google Scholar 

  9. J. R. Isbell, Uniform spaces, Amer. Math. Soc. Math. Surveys 12 (1964).

    Google Scholar 

  10. M. Katětov, Allgemeine Stetigkeitsstrukturen, Proc. Intern. Congr. Math. Stockholm 1962, pp. 473–479, 1963.

    Google Scholar 

  11. M. Katetov, On continuity structures and spaces of mappings, Comment. Math. Univ. Carolinae 6 (1965), 257–278.

    MATH  MathSciNet  Google Scholar 

  12. D. Kent, Convergence functions and their related topologies, Fund. Math. 54 (1964), 125–133.

    MATH  MathSciNet  Google Scholar 

  13. H. J. Kowalsky, Limesräume und Komplettierung, Math. Nachr. 12 (1954), 301–340.

    Article  MATH  MathSciNet  Google Scholar 

  14. G. Preuss, Allgemeine Topologie, Berlin-Heidelberg-New York, 1972.

    Google Scholar 

  15. G. Preuss, Connection properties in topological categories and related topics, Categorical Topology (Proc. Conf., Berlin 1978), Lecture Notes in Math. 719, Springer, Berlin (1979), 293–305.

    Chapter  Google Scholar 

  16. G. Preuss, Relative connectednesses and disconnectednesses in topological categories, Quaest. Math. 2 (1977), 297–306.

    Article  MathSciNet  Google Scholar 

  17. G. Salicrup and R. Vázquez, Connection and Disconnection, Categorical Topology (Proc. Conf., Berlin 1978), Lecture Notes in Math. 719, Springer, Berlin (1979), 326–344.

    Chapter  Google Scholar 

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B. Banaschewski

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© 1982 Springer-Verlag

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Preuss, G. (1982). Connectednesses and disconnectednesses in S-Near . In: Banaschewski, B. (eds) Categorical Aspects of Topology and Analysis. Lecture Notes in Mathematics, vol 915. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092886

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  • DOI: https://doi.org/10.1007/BFb0092886

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11211-2

  • Online ISBN: 978-3-540-39041-1

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