Geodesic
On open maps of Borel sets
Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 203-213

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

We answer in the affirmative [Th. 3 or Corollary 1] the question of L. V. Keldysh [5, p. 648]: can every Borel set X lying in the space of irrational numbers ℙ not $G_δ · F_σ$ and of the second category in itself be mapped onto an arbitrary analytic set Y ⊂ ℙ of the second category in itself by an open map? Note that under a space of the second category in itself Keldysh understood a Baire space. The answer to the question as stated is negative if X is Baire but Y is not Baire.
DOI : 10.4064/fm-146-3-203-213
Keywords: open maps, Borel sets, analytic sets, space of the first category, space of the second category, Baire space 
A. Ostrovsky. On open maps of Borel sets. Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 203-213. doi: 10.4064/fm-146-3-203-213
@article{10_4064_fm_146_3_203_213,
     author = {A. Ostrovsky},
     title = {On open maps of {Borel} sets},
     journal = {Fundamenta Mathematicae},
     pages = {203--213},
     year = {1994},
     volume = {146},
     number = {3},
     doi = {10.4064/fm-146-3-203-213},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-146-3-203-213/}
}
TY  - JOUR
AU  - A. Ostrovsky
TI  - On open maps of Borel sets
JO  - Fundamenta Mathematicae
PY  - 1994
SP  - 203
EP  - 213
VL  - 146
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-146-3-203-213/
DO  - 10.4064/fm-146-3-203-213
LA  - en
ID  - 10_4064_fm_146_3_203_213
ER  - 
%0 Journal Article
%A A. Ostrovsky
%T On open maps of Borel sets
%J Fundamenta Mathematicae
%D 1994
%P 203-213
%V 146
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-146-3-203-213/
%R 10.4064/fm-146-3-203-213
%G en
%F 10_4064_fm_146_3_203_213

Cité par Sources :