Skip to main content
SpringerLink
Log in

Regular maps and metrization

  • Conference paper
  • First Online:
TOPO 72 — General Topology and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 378))

  • 420 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arhangel'skii, A. V., "Factor mappings of metric spaces", Dokl. Akad. Nauk SSSR 155, 247–250 (1964). (= Soviet Math. Dokl. 5, 368–371 (1964)).

    MathSciNet  Google Scholar 

  2. Arhangel'skii, A. V., "Bicompact sets and the topology of spaces", Trudy Moskov. Mat. Obść. 13, 3–55 (1965). (= Trans. Moscow Math. Soc. 13, 1–62 (1965)).

    MathSciNet  Google Scholar 

  3. Arhangel'skii, A. V., "Mappings and spaces", Uspehi Mat. Nauk 21, 133–184 (1966). (= Russian Math. Surveys 21, 115–162 (1966)).

    MathSciNet  Google Scholar 

  4. Hanai, S., "On open mappings, II", Proc. Japan Acad. 37, 233–238 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  5. Martin, H. W., "Metrization of symmetric spaces and regular maps", Proc. Amer. Math. Soc. 35, 269–274 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  6. Martin, H. W., "Perfect maps of symmetrizable spaces", Proc. Amer. Math. Soc. 38, 410–412 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  7. Morita, K., and Hanai, S., "Closed mappings and metric spaces", Proc. Japan Acad. 32, 10–14 (1956).

    Article  MathSciNet  MATH  Google Scholar 

  8. Niemytzki, V., "On the third axiom of metric spaces", Trans. Amer. Math. Soc. 29, 507–513 (1927).

    MathSciNet  MATH  Google Scholar 

  9. Stone, A. H., "Metrizability of decomposition spaces", Proc. Amer. Math. Soc. 7, 690–700 (1956).

    Article  MathSciNet  MATH  Google Scholar 

  10. Whyburn, G. T., "Directed families of sets and closedness of functions". Proc. Nat. Acad. Sci. U.S.A. 54, 688–692 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  11. Wilson, W. A., "On semi-metric spaces", Amer. J. Math. 53, 361–373 (1931).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Pittsburgh, 15213, Pittsburgh, Pennsylvania

    Harold W. Martin

Authors
  1. Harold W. Martin
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Richard A. Alò Robert W. Heath Jun-iti Nagata

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Martin, H.W. (1974). Regular maps and metrization. In: Alò, R.A., Heath, R.W., Nagata, Ji. (eds) TOPO 72 — General Topology and its Applications. Lecture Notes in Mathematics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068482

Download citation

  • DOI: https://doi.org/10.1007/BFb0068482

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06741-2

  • Online ISBN: 978-3-540-38323-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation