Geodesic
A Theorem on Involutions on Cyclic Peano Spaces
Canadian mathematical bulletin, Tome 13 (1970) no. 3, pp. 387-388

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The purpose of this note is to prove that an involutionf on a cyclic Peano space S leaves some simple closed curve in Ssetwise invariant.We shall first define the required terms. A Peano space is a locally compact, connected and locally connected metric space. A connected space is called cyclic if it has no cut-point. An involution on a space is a periodic mapping whose period is 2; it is necessarily a homeomorphism. A mapping f: X → X is said to leave a subset E of S setwise invariant if f(E) = E. These definitions may be found, for example, in [2]. 
Hunt, J. H. V. A Theorem on Involutions on Cyclic Peano Spaces. Canadian mathematical bulletin, Tome 13 (1970) no. 3, pp. 387-388. doi: 10.4153/CMB-1970-074-5
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     author = {Hunt, J. H. V.},
     title = {A {Theorem} on {Involutions} on {Cyclic} {Peano} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {387--388},
     year = {1970},
     volume = {13},
     number = {3},
     doi = {10.4153/CMB-1970-074-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-074-5/}
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