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Descriptive properties of families of autohomeomorphisms of the unit interval |
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| Authors: | Szymon G?a?b |
| Affiliation: | Mathematical Institute, Polish Academy of Science, ?niadeckich 8, 00-956 Warszawa, Poland |
| Abstract: | Let H⊂C[0,1] stand for the Polish space of all increasing autohomeomorphisms of [0,1]. We show that the family of all strictly singular autohomeomorphisms is  -complete. This confirms a suggestion of Graf, Mauldin and Williams. Some related results are also included. |
| Keywords: | Singular autohomeomorphism Coanalytic set |
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