Skip to main content

Algebraic-topological problems in approximation theory

  • Chapter
  • First Online:
Geometric Applications of Homotopy Theory I

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 657))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. J. C. Becker, A. Casson, and D. H. Gottlieb, The Lefschetz number and fiber preserving maps, Bull. Amer. Math. Soc. 81 (1975), 425–427.

    Article  MathSciNet  MATH  Google Scholar 

  2. V. G. Boltjanskitikya, S. S. Ryškov, and Ju. A. Šaškin, On k-regular imbeddings and their application to the theory of approximation of functions, Uspehi Mat. Nauk 15 (1960), no. 6 (96), 125–132 (Russian); Amer. Math. Soc. Transl. (2) 28 (1963), 211–219.

    MathSciNet  Google Scholar 

  3. K. Borsuk, On the k-independent subsets of the Euclidean space and of the Hilbert space, Bull. Acad. Polon. Sci. Cl. III. 5 (1957), 351–356.

    MathSciNet  MATH  Google Scholar 

  4. F. R. Cohen, The homology of ln+1-spaces, n ⩾ 0, Lecture Notes in Mathematics, No. 533 (Springer-Verlag 1976), 207–351.

    Google Scholar 

  5. F. R. Cohen and D. Handel, k-regular embeddings of the plane, (submitted).

    Google Scholar 

  6. F. R. Cohen, M. E. Mahowald, and R. J. Milgram, The stable decomposition for the double loop space of a sphere, Proc. of the A. M. S. Summer Institute in Algebraic Topology, Stanford University, 1976 (to appear).

    Google Scholar 

  7. D. Handel, Obstructions to 3-regular embeddings, (submitted).

    Google Scholar 

  8. D. Handel and J. Segal, On k-regular embeddings of spaces in Euclidean space, (submitted).

    Google Scholar 

  9. J. C. Mairhuber, On Haar's theorem concerning Chebychev approximation problems having unique solutions, Proc. Amer. Math. Soc. 7 (1956), 609–615.

    MathSciNet  MATH  Google Scholar 

  10. J. P. May, The geometry of iterated loop spaces, Lecture Notes in Mathematics, No. 271 (Springer-Verlag 1972).

    Google Scholar 

  11. S. Priddy, Dyer-Lashof operations for the classifying spaces of certain matrix groups, Quart. J. Math. Oxford (2) 26 (1975), 179–193.

    Article  MathSciNet  MATH  Google Scholar 

  12. Ju. A. Šaškin, Topological properties of sets connected with approximation theory, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 1085–1094 (Russian).

    MathSciNet  Google Scholar 

  13. I. J. Schoenberg and C. T. Yang, On the unicity of problems of best approximation, Ann. Mat. Pura. Appl. 54 (1961), 1–12.

    Article  MathSciNet  MATH  Google Scholar 

  14. I. Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Spaces, Springer-Verlag 1970.

    Google Scholar 

  15. W-t. Wu, On the realization of complexes in Euclidean space II, Scientia Sinica 7 (1958), 365–387.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

M. G. Barratt M. E. Mahowald

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this chapter

Cite this chapter

Handel, D. (1978). Algebraic-topological problems in approximation theory. In: Barratt, M.G., Mahowald, M.E. (eds) Geometric Applications of Homotopy Theory I. Lecture Notes in Mathematics, vol 657. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069239

Download citation

  • DOI: https://doi.org/10.1007/BFb0069239

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08858-5

  • Online ISBN: 978-3-540-35809-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics