Vol. 32, No. 2, 1970

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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