Vol. 32, No. 2, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Involutions of the 3-sphere which fix 2-spheres

Robert Francis Craggs

Vol. 32 (1970), No. 2, 307–321
Abstract

We show in that the space of involutions of the 3-sphere whose fixed point sets are 2-spheres is pathwise and locally pathwise connected. From Smith theory it is known that these involutions are orientation reversing. The fixed point sets need not be tame 2-spheres; Bing and others have many examples of involutions of the 3-sphere whose fixed point sets are wild 2-spheres.

Mathematical Subject Classification
Primary: 54.28
Milestones
Received: 3 February 1969
Published: 1 February 1970
Authors
Robert Francis Craggs