Skip to main content

Some applications of pointwise collectionwise normality

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

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

  • 423 Accesses

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

Access this chapter

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. Arhangelśkii, A., "Bicompact sets and the topology of spaces", Soviet Math. Dokl. 4, 561–564 (1963).

    Google Scholar 

  2. Bennett, H. R. and Lutzer, D. J., "A note on weak ϑ-refinability", Gen. Topology Appl. 2, 49–54 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  3. Boone, J. R., "A characterization of metacompactness in the class of ϑ-refinable spaces", (to appear in General Topology and its Applications).

    Google Scholar 

  4. Boone, J. R., "An example relating to Arhangelskii's class MOBI", (to appear in Proc. Amer. Math. Soc.).

    Google Scholar 

  5. Boone, J. R., "A metrization theorem for developable spaces", Fund. Math. 73, 79–83 (1971).

    MathSciNet  MATH  Google Scholar 

  6. Boone, J. R., "A note on mesocompact and sequentially mesocompact spaces", Pacific J. Math. 44, 69–74 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  7. Burke, D. K., "On subparacompact spaces", Proc. Amer. Math. Soc. 23, 655–663 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  8. Franklin, S. P., "Spaces in which sequences suffice", Fund. Math. 57, 107–115 (1965).

    MathSciNet  MATH  Google Scholar 

  9. Heath, R. W., "Screenability, pointwise paracompactness and metrization of Moore spaces", Can. J. Math. 16, 763–770 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  10. Hodel, R. E., "A note on subparacompact spaces", Proc. Amer. Math. Soc. 25, 842–845 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  11. Michael, E., "Point-finite and locally finite covering", Can. J. Math. 7, 275–279 (1955).

    Article  MathSciNet  MATH  Google Scholar 

  12. Michael, E., "Another note on paracompact spaces", Proc. Amer. Math. Soc. 8, 822–828 (1957).

    Article  MathSciNet  MATH  Google Scholar 

  13. Morita, K., "Star-finite coverings and the star-finite property" Math. Japonicae 1, 60–68 (1948).

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  15. Worrell, J. M., Jr. and Wicke, H. H., "Characterizations of developable topological spaces", Can. J. Math. 17, 820–830 (1965).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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

Boone, J.R. (1974). Some applications of pointwise collectionwise normality. 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/BFb0068460

Download citation

  • DOI: https://doi.org/10.1007/BFb0068460

  • 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