Skip to main content
SpringerLink
Log in

On the Weak-Open Images of Metric Spaces

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

In this paper, we give characterizations of certain weak-open images of metric spaces.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Alexandroff: On some results concerning topological spaces and their continuous mappings. Proc. Sym. Gen. Top. Prague. 1961, pp. 41-54.

  2. A.V. Arhangel'skii: Mappings and spaces. Russian Math. Surveys 21 (1966), 115-162.

    Google Scholar 

  3. F. Siwiec: On defining a space by a weak-base. Pacific J. Math. 52 (1974), 233-245.

    Google Scholar 

  4. S. Xia: Characterizations of certain g-first countable spaces. Adv. Math. 29 (2000), 61-64.

    Google Scholar 

  5. Y. Tanaka and S. Xia: Certain s-images of locally separable metric spaces. Q & A in Gen. Top. 14 (1996), 217-231.

    Google Scholar 

  6. Y. Tanaka: Symmetric spaces, g-developable space and g-metrizable space. Math. Japon. 36 (1991), 71-84.

    Google Scholar 

  7. Z. Qu and Z. Cao: Spaces with compact-countable k-networks. Math. Japon. 49 (1999), 199-205.

    Google Scholar 

  8. L. Foged: On g-metrizability. Pacific J. Math. 98 (1982), 327-332.

    Google Scholar 

  9. S. Lin: A note on the Arens' space and sequential fan. Topology Appl. 81 (1997), 185-196.

    Google Scholar 

  10. S. Lin: On g-metrizable spaces. Chinese Ann. Math. 13 (1992), 403-409.

    Google Scholar 

  11. C. Liu and M. Dai: g-metrizability and S ω. Topology Appl. 60 (1994), 185-189.

    Google Scholar 

  12. C. Liu and Y. Tanaka: Star-countable k-networks, compact-countable k-networks, and related results. Houston J. Math. 24 (1998), 655-670.

    Google Scholar 

  13. S. Lin: Generalized Metric Spaces and Mappings. Chinese scientific publ., Beijing, 1995.

    Google Scholar 

  14. S. Lin: On sequence-covering s-mappings. Adv. Math. 25 (1996), 548-551.

    Google Scholar 

  15. S. Lin and Y. Tanaka: Point-countable k-networks, closed maps, and related results. Topology Appl. 59 (1994), 79-86.

    Google Scholar 

  16. S. Lin, Z. Li, J. Li and C. Liu: On ss-mappings. Northeast. Math.J. 9 (1993), 521-524.

    Google Scholar 

  17. M. Sakai: On spaces with a star-countable k-network. Houston J. Math. 23 (1997), 45-56.

    Google Scholar 

  18. G. Gruenhage, E. Michael and Y. Tanaka: Spaces determined by point-countable covers. Pacific J. Math. 113 (1984), 303-332.

    Google Scholar 

  19. V. I. Ponomarev: Axioms of countablility and continuous mappings. Bull. Pol. Acad., Math. 8 (1960), 127-133.

    Google Scholar 

  20. Y. Tanaka: σ-hereditarily closure-preserving k-networks and g-metrizability. Proc. Amer. Math. Soc. 112 (1991), 283-290.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Math., Changsha University of Science and Technology, Changsha, Hunan, 410077, P.R. China

    Zhaowen Li

  2. Dept. of Math., Ningde Teacher's college, Ningde, Fujian, 352100, P.R. China

    Shou Lin

Authors
  1. Zhaowen Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shou Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Z., Lin, S. On the Weak-Open Images of Metric Spaces. Czechoslovak Mathematical Journal 54, 393–400 (2004). https://doi.org/10.1023/B:CMAJ.0000042377.80659.fb

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:CMAJ.0000042377.80659.fb

Search

Navigation