ANOTHER PROOF OF HUREWICZ THEOREM
Repický, Miroslav
Tatra Mountains Mathematical Publications, Tome 49 (2011), / Harvested from Mathematical Institute
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A~Hurewicz theorem says that every coanalytic non-$G_\delta$~set~$C$in a~Polish space contains a~countable set~$Q$ without isolated pointssuch that $\overline Q\cap C=Q$.We present another elementary proof of this theorem and generalize itfor $\kappa$-Suslin sets.As a~consequence, under Martin's Axiom, we obtain a~characterizationof $\boldsymbol\Sigma^1_2$~sets that are the unions of lessthan the continuum closed sets.

Publié le : 2011-01-01
DOI : https://doi.org/10.2478/tatra.v49i0.125 
@article{125,
     title = {ANOTHER PROOF OF HUREWICZ THEOREM},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {49},
     year = {2011},
     doi = {10.2478/tatra.v49i0.125},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/125}
}

Repický, Miroslav. ANOTHER PROOF OF HUREWICZ THEOREM. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v49i0.125. http://gdmltest.u-ga.fr/item/125/