INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES FUNDAMENTA MATHEMATICAE ISSN: 0016-2736(p) 1730-6329(e)

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The complexity of the set of squares in the homeomorphism group of the circle

Paul Gartside¹, Bojana Pejić²
Fund. Math. 195 (2007), 125-134
doi:10.4064/fm195-2-2

Abstract: The set of squares in the group of autohomeomorphisms of the circle is complete analytic, and hence analytic but not Borel.


MSC (2000): 54H05, 03E15, 28A05.
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1. Department of Mathematics
   University of Pittsburgh
   301 Thackeray Hall
   Pittsburgh, PA 15260, U.S.A.
   
2. Department of Mathematics
   University of Pittsburgh
   301 Thackeray Hall
   Pittsburgh, PA 15260, U.S.A.
   

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