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A Note on Fixed Point Sets and Wedges
Published online by Cambridge University Press: 20 November 2018
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A space Z is said to have the complete invariance property (CIP) provided that every nonempty closed subset of Z is the fixed point set of some continuous self-mapping of Z. In this paper it is shown that there exists a one-dimensional contractible planar continuum having CIP whose wedge with itself at a specified point is contractible, planar, and does not have CIP.
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- Copyright © Canadian Mathematical Society 1980
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