Skip to main content

Monotone mappings and degree one mappings between PL manifolds

  • Conference paper
  • First Online:
Geometric Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 438))

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. M. A. Armstrong and E. C. Zeeman, Transversality for piecewise linear manfolds, Topology 6 (1967), 433–466.

    Article  MathSciNet  MATH  Google Scholar 

  2. D. B. A. Epstein, The degree of a map, Proc. London Math. Soc. (3) 16 (1966), 369–383.

    Article  MathSciNet  MATH  Google Scholar 

  3. W. Haken, On homotopy 3-spheres, Illinois J. Math. 10 (1966), 159–178.

    MathSciNet  MATH  Google Scholar 

  4. Stephen L. Jones, Degree one mappings on three manifolds, Proc. of the First Conference on Monotone Mappings and Open Mappings, Oct. 1970, SUNY Binghamton, (L. F. McAuley, ed.), 78–86.

    Google Scholar 

  5. E. E. Moise, A monotonic mapping theorem for simply connected 3-manifolds, Illinois J. Math. 12 (1968), 451–474.

    MathSciNet  MATH  Google Scholar 

  6. P. Olum, Mappings of manifolds and the notion of degree, Ann. of Math. 58 (1953), 458–480.

    Article  MathSciNet  MATH  Google Scholar 

  7. T. M. Price, Constructing PL approximations to maps between 3-manifolds, Notices of the Amer. Math. Soc. 20 (1973), A-198.

    Google Scholar 

  8. C. P. Rourke and B. J. Sanderson, Introduction to Piecewise Linear Topology, Springer-Verlag (1972).

    Google Scholar 

  9. __________, Block bundles II, transversality, Ann. of Math. 87 (1968), 255–277.

    MathSciNet  MATH  Google Scholar 

  10. D. Schoenfeld, Ph.D. Thesis, University of Iowa (1971).

    Google Scholar 

  11. David C. Wilson, An extension theorem of UV k -mappings with applications to degree theory, manuscript.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Leslie Curtis Glaser Thomas Benjamin Rushing

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Wright, A.H. (1975). Monotone mappings and degree one mappings between PL manifolds. In: Glaser, L.C., Rushing, T.B. (eds) Geometric Topology. Lecture Notes in Mathematics, vol 438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066139

Download citation

  • DOI: https://doi.org/10.1007/BFb0066139

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07137-2

  • Online ISBN: 978-3-540-37412-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics