Selivanovski hard sets are hard

Janusz Pawlikowski. "Selivanovski hard sets are hard." Fundamenta Mathematicae 228.1 (2015): 17-25. <http://eudml.org/doc/283227>.

@article{JanuszPawlikowski2015,
abstract = {Let $H ⊆ Z ⊆ 2^\{ω\}$. For n ≥ 2, we prove that if Selivanovski measurable functions from $2^\{ω\}$ to Z give as preimages of H all Σₙ¹ subsets of $2^\{ω\}$, then so do continuous injections.},
author = {Janusz Pawlikowski},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {1},
pages = {17-25},
title = {Selivanovski hard sets are hard},
url = {http://eudml.org/doc/283227},
volume = {228},
year = {2015},
}

TY - JOUR
AU - Janusz Pawlikowski
TI - Selivanovski hard sets are hard
JO - Fundamenta Mathematicae
PY - 2015
VL - 228
IS - 1
SP - 17
EP - 25
AB - Let $H ⊆ Z ⊆ 2^{ω}$. For n ≥ 2, we prove that if Selivanovski measurable functions from $2^{ω}$ to Z give as preimages of H all Σₙ¹ subsets of $2^{ω}$, then so do continuous injections.
LA - eng
UR - http://eudml.org/doc/283227
ER -