We prove that density preserving homeomorphisms form a Π11-complete subset in the Polish space ℍ of all increasing autohomeomorphisms of unit interval.
@article{bwmeta1.element.doi-10_2478_s11533-010-0054-z,
author = {Szymon G\l \k ab and Filip Strobin},
title = {Descriptive properties of density preserving autohomeomorphisms of the unit interval},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {928-936},
zbl = {1217.28001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0054-z}
}
Szymon Głąb; Filip Strobin. Descriptive properties of density preserving autohomeomorphisms of the unit interval. Open Mathematics, Tome 8 (2010) pp. 928-936. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0054-z/
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