Skip to main content

On infinite cyclic actions on contractible open 3-manifolds and strong irreducibility

  • 344 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 299)

Keywords

  • Compact Subset
  • Transformation Group
  • Simple Closed Curve
  • Solid Tori
  • Simple Closed Curf

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. H. Fox and E. Artin, Some wild cells and spheres in three-dimensional space, Ann. of Math. 49 (1948), 979–990.

    CrossRef  MATH  MathSciNet  Google Scholar 

  2. O. G. Harrold and E. E. Moise, Almost locally polyhedral spheres, Ann. of Math. 57 (1953), 575–578.

    CrossRef  MATH  MathSciNet  Google Scholar 

  3. B. v. Kerékjártó, Ueber die fixpunktfreien Abbildungen der Ebene, Acta Sci. Math. (Szeged) 6 (1934), 226–234.

    Google Scholar 

  4. S. Kinoshita, On quasi-translations in 3-space, Fund. Math. 56 (1964), 69–79.

    MATH  MathSciNet  Google Scholar 

  5. ____, Notes on covering transformation groups, Proc. Amer. Math. Soc. 19 (1968), 421–424.

    CrossRef  MATH  MathSciNet  Google Scholar 

  6. S. Kinoshita and C. D. Sikkema, On arc and ball pairs and quasi-translations of the 3-sphere, Mich. Math. J. 17 (1970), 165–173.

    CrossRef  MATH  MathSciNet  Google Scholar 

  7. ____, Penetration indices of arc and ball pairs and uncountably many quasi-translations of the 3-sphere (to appear).

    Google Scholar 

  8. D. R. McMillan, Jr., Some contractible open 3-manifolds, Trans. Amer. Math. Soc. 102 (1962), 373–382.

    MATH  MathSciNet  Google Scholar 

  9. D. Montgomery and L. Zippin, Translation groups in three space, Amer. J. Math. 49 (1937), 121–128.

    CrossRef  MathSciNet  Google Scholar 

  10. E. Sperner, Ueber die fixpunktfreien Abbildungen der Ebene, Abh. Math. Sem. Univ. Hamburg 10 (1934), 1–48.

    CrossRef  Google Scholar 

  11. J. H. C. Whitehead, A certain open manifold whose group is unity, Quart. J. Math. 6 (1935), 268–279.

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1972 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Kinoshita, S. (1972). On infinite cyclic actions on contractible open 3-manifolds and strong irreducibility. In: Ku, H.T., Mann, L.N., Sicks, J.L., Su, J.C. (eds) Proceedings of the Second Conference on Compact Transformation Groups. Lecture Notes in Mathematics, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066768

Download citation

  • DOI: https://doi.org/10.1007/BFb0066768

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06078-9

  • Online ISBN: 978-3-540-38066-5

  • eBook Packages: Springer Book Archive