Selivanovski hard sets are hard

Janusz Pawlikowski

Fundamenta Mathematicae, Tome 228 (2015), p. 17-25 / Harvested from The Polish Digital Mathematics Library

Résumé

Let $H \subseteq Z \subseteq 2^{ω}$ . 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.

Publié le : 2015-01-01

Zbl 06366988

EUDML-ID : urn:eudml:doc:283227

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm228-1-2,
     author = {Janusz Pawlikowski},
     title = {Selivanovski hard sets are hard},
     journal = {Fundamenta Mathematicae},
     volume = {228},
     year = {2015},
     pages = {17-25},
     zbl = {06366988},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm228-1-2}
}

Janusz Pawlikowski. Selivanovski hard sets are hard. Fundamenta Mathematicae, Tome 228 (2015) pp. 17-25. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm228-1-2/