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Notes on symmetric g-functions

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Abstract

A number of generalized metric spaces have been defined or characterized in terms of g-functions. Symmetric g-functions are discussed by C. Good, D. Jennings and A. M. Mohamad. In this paper, some questions about symmetric g-functions are answered, particularly it is shown that every sym-wg-space is expandable.

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References

  1. D. K. Burke, Covering properties, in: Handbook of Set-Theoretic Topology, K. Kunen, J. E. Vaughan (eds.), Elsevier Science Publishers B. V. (Amsterdam, 1984), pp. 347–422.

    Google Scholar 

  2. R. Engelking, General Topology (revised and completed edition), Heldermann Verlag (Berlin, 1989).

    MATH  Google Scholar 

  3. C. Good, D. Jennings and A. M. Mohamad, Symmetric g-functions, Topology Appl., 134 (2003), 111–122.

    Article  MATH  MathSciNet  Google Scholar 

  4. G. Gruenhage, Generalized metric spaces, in: Handbook of Set-Theoretic Topology, K. Kunen, J. E. Vaughan (eds.), Elsevier Science Publishers B. V. (Amsterdam, 1984), pp. 423–501.

    Google Scholar 

  5. R. E. Hodel, Spaces defined by sequences of open covers which guarantee that certain sequences have cluster points, Duke Math. J., 39 (1972), 253–263.

    Article  MATH  MathSciNet  Google Scholar 

  6. R. E. Hodel, Modern metrization theorem, in: Encyclopedia of General Topology, K. P. Hart, J. Nagata and J. E. Vaughan (eds.), Elsevier Science Publishers B. V. (Amsterdam, 2004), 242–246.

    Google Scholar 

  7. T. Ishii, On wM-spaces, Proc. Japan Acad., 46 (1971), 5–15.

    Article  Google Scholar 

  8. L. L. Krajewski, On expanding locally finite collections, Canad. J. Math., 23 (1971), 58–68.

    MATH  MathSciNet  Google Scholar 

  9. A. M. Mohamad, Generalization of G *δ -diagonals and wΔ-spaces, Acta Math. Hungar., 80 (1998), 285–291.

    Article  MATH  MathSciNet  Google Scholar 

  10. J. C. Smith and L. L. Krajewski, Expandability and collectionwise normality, Trans. Amer. Math. Soc., 160 (1971), 437–451.

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to S. Lin.

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The project is supported by the NNSF (10571151) and NSF (2006J0397) of Fujian Province of China.

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Li, K., Lin, S. Notes on symmetric g-functions. Acta Math Hung 116, 73–77 (2007). https://doi.org/10.1007/s10474-007-5293-5

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  • DOI: https://doi.org/10.1007/s10474-007-5293-5

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