Crossref Citations
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Schirmer, Helga
1981.
Fixed Point Theory.
Vol. 886,
Issue. ,
p.
417.
Published online by Cambridge University Press: 20 November 2018
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.