Skip to main content
SpringerLink
Log in

On convering a set in R N by balls of the same diameter

  • Conference paper
  • First Online:
Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1469))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.95
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. L. Danzer, On the k-th diameter in E d and a problem of Grünbaum, Proc. Colloquium on Convexity, Copenhagen, 1965, p. 41.

    Google Scholar 

  2. B. Grünbaum, Borsuk's problem and related question, Proc. Symp. Pure Math. A.M.S. 7 (1963), 271–284.

    Article  Google Scholar 

  3. G.A. Kabatiansky and V.I. Levenshtein, Bounds for packings on a sphere and in space, Problems in Information Transmission 14 (1978), 1–17.

    MathSciNet  Google Scholar 

  4. C.A. Rogers, Covering a sphere with spheres, Mathematika 10 (1963), 157–164.

    Article  MathSciNet  MATH  Google Scholar 

  5. R.A. Rankin, On the closest packing of spheres in n dimensions, Ann. Math. 48 (1947), 1062–1081.

    Article  MathSciNet  MATH  Google Scholar 

  6. O. Schramm, M.Sc. thesis, Hebrew University 1987.

    Google Scholar 

  7. O. Schramm, Illuminating sets of constant width, Mathematika (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. I.H.E.S., Bures sur Yvette, France

    J. Bourgain

  2. Hebrew University, Jerusalem, Israel

    J. Lindenstrauss

Authors
  1. J. Bourgain
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Lindenstrauss
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Joram Lindenstrauss Vitali D. Milman

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Bourgain, J., Lindenstrauss, J. (1991). On convering a set in R N by balls of the same diameter. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089220

Download citation

  • DOI: https://doi.org/10.1007/BFb0089220

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54024-3

  • Online ISBN: 978-3-540-47355-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation