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

Fundamenta Mathematicae

Volumn 195, Issue 2, 2007, Pages 125-134

  Gartside, Paul ^a,b   Pejić, Bojana ^a,b  

^a 301 Thackeray Hall ^*

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Borel; Complete analytic; Polish group; Squares

Indexed keywords

EID: 35348984045     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm195-2-2     Document Type: Article

References (10)

1. F. Beleznay, The complexity of the collection of countable linear orders of the form I + I, J. Symbolic Logic 64 (1999), 1519-1526.
2. R. V. Chacon, A geometric construction of measure preserving transformations, in: Proc. Fifth Berkeley Sympos. on Math. Statist. Probab., Vol. II: Contributions to Probability Theory, Univ. of California Press, Berkeley, CA, 1967, Part 2, 335-360.
3. P. Gartside and B. Pejić, Uniqueness of Polish group topologies, submitted.
4. M. Gerstenhaber, On canonical constructions, II, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 881-883.
5. P. R. Halmos, Lectures on Ergodic Theory, Chelsea, Bronx, NY, 1960.
6. P. D. Humke and M. Laczkovich, The Borel structure of iterates of continuous functions, Proc. Edinburgh Math. Soc. 32 (1989), 483-494.
7. A. S. Kechris, Classical Descriptive Set Theory, Springer, New York, 1995.
8. J. L. King, The generic transformation has roots of all orders, Colloq. Math. 84/85 (2000), 531-547.
9. G. W. Mackey, Borel structures in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-165.
10. D. E. Miller, On the measurability of orbits in Borel actions, Proc. Amer. Math. Soc. 63 (1977), 165-170.