A technique for reducing certain covers on certain L.O.T.S. and their products

  • Scott W. Williams
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 378)


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  1. [1]
    Pervin, W. J., Foundations of General Topology, Academic Press, 1964.Google Scholar
  2. [2]
    Alexandrov, P. and Urysohn, P., "Sur les espaces topologiques", Bull. Acad. Polon. Sci. (A), 5–8 (1923).Google Scholar
  3. [3]
    Hausdorff, F., Set Theory, Chelsea, 1957.Google Scholar
  4. [4]
    Arhangel'skii, A. V., "On the cardinality of first countable compacta", Doklady Akad. Nauk. SSSR 187, 967–968 (1969).MathSciNetGoogle Scholar
  5. [5]
    Ponmarev, V., "On the cardinality of bicompacta which satisfy the first axiom of countability", Dokl. Akad. Nauk. SSSR 196, No. 2, 121–124 (1971).Google Scholar
  6. [6]
    Roy, P., "The cardinality of first countable spaces", Bull. Amer. Math. Soc. 77, 1057–1059 (1971).MathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    Gillman, L., and Henriksen, M., "Concerning rings of continuous functions", Trans. Amer. Math. Soc. 77, 340–362 (1954).MathSciNetCrossRefMATHGoogle Scholar
  8. [8]
    Williams, S., and Fleischman, W., "The Gδ-topology on compact spaces", to appear in Fundamenta Mathematicae.Google Scholar
  9. [9]
    Gal, I., "On the theory of (m,n)-compact topological spaces", Pacific J. Math. 8, 721–734 (1958).MathSciNetCrossRefMATHGoogle Scholar
  10. [10]
    Juhasz, I., Cardinal Functions in Topology, Mathematical Center Tract 34, Mathematisch Centrum, Amsterdam, 1971.MATHGoogle Scholar
  11. [11]
    Meyer, P., "Function spaces and the Alexandrov-Urysohn conjecture", Annali di Mathematica pura ed applicata IV vol. 86, 25–30 (1970).CrossRefGoogle Scholar
  12. [12]
    Juhasz, I., "On two problems of A. V. Arhangel'skii", Gen. Top. and Appl. 2, 151–156 (1972).MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • Scott W. Williams
    • 1
  1. 1.State University of New York at BuffaloAmherst

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