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A Theorem On Fixed Points Of Involutions In S3
Published online by Cambridge University Press: 20 November 2018
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1. Introduction. Let T be an orientation-preserving homeomorphism of period two of the 3-sphere S3 onto itself; further let T be different from the identity and have at least one fixed point. It has been shown by Smith (8, p. 162) that the set F of all fixed points of T is a simple closed curve. However, very little is known about the position of F in S3.
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- Copyright © Canadian Mathematical Society 1955
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