Keywords
- Tubular Neighborhood
- Infinite Order
- Sphere Bundle
- Trivial Line Bundle
- Free Involution
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
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
D. Barden: h-Cobordisms Between 4-Manifolds, Notes, Cambridge University, 1964.
G. Bredon: Introduction to Compact Transformation Groups, Academic Press, 1972.
W. Browder and G. R. Livesay: Fixed Point Free Involutions on Homotopy Spheres, Tôhoku Math. J. sec. series vol 1 (March 1973), pp. 69–88 (see also Bull. Amer. Math. Soc. (N.S.) 73 (1967), pp. 242–245).
S. Cappell: Unitary Nilpotent Groups and Hermitian K-Theory, Bull. Amer. Math. Soc. 80, pp. 1117–1122 (1974).
R. Cruz: Multidimensional Periodic Knots, to appear.
S. Cappell and J. Shanenson: The Codimension Two Placement Problem and Homology Equivalent Manifolds, Ann. of Math. 99 (1974), pp. 277–348.
S. Cappell and J. Shanenson: Totally Spineless Manifolds, Illinois J. Math. 83 (1977), pp. 231–239.
M. Freedman: The Disk Theorem for 4-Dimensional Manifolds, Proc. Int. Cong. Math. (1983), v. 1, pp. 647–663.
G. R. Livesay: Fixed Point Free Involutions on the 3-Sphere, Ann. of Math. 72 (1960), pp. 603–611.
S. Lopez de Medrano: Involutions on Manifolds, Springer-Verlag 1971.
J. Shanenson: Non Simply Connected Surgery and Some Results in Low Dimesnional Topology, Comment. Math. Helv. 45 (1970), pp. 333–352.
J. Smith: Complements of Codimension Two Submanifolds I, II, III, Illinois J. Math. 22 (1978), pp. 232–239, 25 (1981), pp. 470–497 and Pacific J. Math. vol. 94. no. 2 (1981), pp. 423–484 respectively.
C. T. C. Wall: Surgery on Compact Manifolds, Academic Press 1970.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this chapter
Cite this chapter
Cruz, R.N. (1990). Periodic knots and desuspensions of free involutions on spheres. In: Latiolais, P. (eds) Topology and Combinatorial Group Theory. Lecture Notes in Mathematics, vol 1440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084448
Download citation
DOI: https://doi.org/10.1007/BFb0084448
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52990-3
Online ISBN: 978-3-540-46296-5
eBook Packages: Springer Book Archive
