Geodesic
The complexity of the set of squares in the homeomorphism group of the circle
Paul Gartside 1   ; Bojana Pejić 1
1 Department of Mathematics University of Pittsburgh 301 Thackeray Hall Pittsburgh, PA 15260, U.S.A.
Fundamenta Mathematicae, Tome 195 (2007) no. 2, pp. 125-134 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The set of squares in the group of autohomeomorphisms of the circle is complete analytic, and hence analytic but not Borel.
DOI : 10.4064/fm195-2-2
Keywords: set squares group autohomeomorphisms circle complete analytic hence analytic borel

Paul Gartside  1   ; Bojana Pejić  1

1 Department of Mathematics University of Pittsburgh 301 Thackeray Hall Pittsburgh, PA 15260, U.S.A. 
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Paul Gartside; Bojana Pejić. The complexity of the set of squares in the
 homeomorphism group of the circle. Fundamenta Mathematicae, Tome 195 (2007) no. 2, pp. 125-134. doi: 10.4064/fm195-2-2

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