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Beziehungen zwischen Tychonoff-Räumen und ihren Funktionenringen

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Literatur

  1. Anderson, F. W.: A lattice characterization of completely regularG δ-spaces. Proc. Amer. Math. Soc.6, 757–765 (1955).

    Google Scholar 

  2. —— Blair, R. L.: Characterizations of the algebra of all real-valued continuous functions on a completely regular space. Illinois J. Math.3, 121–133 (1959).

    Google Scholar 

  3. Engelking, R.: Remarks on real-compact spaces. Fund. Math.55, 303–308 (1964).

    Google Scholar 

  4. Gillman, L., Jerison, M.: Rings of continuous functions. Princeton, N.J.: Van Nostrand 1960.

    Google Scholar 

  5. —— —— Henriksen, M.: On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions. Proc. A. M. S.5, 447–455 (1954).

    Google Scholar 

  6. Gelfand, I., Kolmogoroff, A.: On rings of continuous functions on topological spaces. Dokl. Akad. Nauk SSSR22, 11–15 (1939).

    Google Scholar 

  7. Hewitt, E.: Rings of real-valued continuous functions, I. Trans. Amer. Math. Soc.64, 45–99 (1948).

    Google Scholar 

  8. Pursell, L. E.: An algebraic characterization of fixed ideals in certain function rings. Pacific J. Math.5, 963–969 (1955).

    Google Scholar 

  9. Stone, M. H.: Applications of the theory of Boolean rings to general topology. Trans. Amer. Math. Soc.41, 375–481 (1937).

    Google Scholar 

  10. Shirota, T.: A generalization of a theorem of I. Kaplansky. Osaka Math. J.4, 121–132 (1952).

    Google Scholar 

  11. Kohls, C. W.: Ideals in rings of continuous functions. Fund. Math.45, 28–50 (1957).

    Google Scholar 

  12. Heider, L. J.: A note concerning completely regularG δ-spaces. Proc. Amer. Math. Soc.8, 1060–1065 (1957).

    Google Scholar 

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Merziger, G. Beziehungen zwischen Tychonoff-Räumen und ihren Funktionenringen. Math. Ann. 196, 148–162 (1972). https://doi.org/10.1007/BF01419611

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