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

Volume 195 / 2007

Paul Gartside, Bojana Pejić Fundamenta Mathematicae 195 (2007), 125-134 MSC: 54H05, 03E15, 28A05. 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.

Authors

Paul GartsideDepartment of Mathematics
University of Pittsburgh
301 Thackeray Hall
Pittsburgh, PA 15260, U.S.A.
e-mail
Bojana PejićDepartment of Mathematics
University of Pittsburgh
301 Thackeray Hall
Pittsburgh, PA 15260, U.S.A.
e-mail

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