How to recognize a true Σ^0_3 set

Matheron, Etienne

Fundamenta Mathematicae, Tome 158 (1998), p. 181-194 / Harvested from The Polish Digital Mathematics Library

Résumé

Let X be a Polish space, and let ${(A_{p})}_{p \in ω}$ be a sequence of $G_{δ}$ hereditary subsets of K(X) (the space of compact subsets of X). We give a general criterion which allows one to decide whether $\cup_{p \in ω} A_{p}$ is a true $\sum_{3}^{0}$ subset of K(X). We apply this criterion to show that several natural families of thin sets from harmonic analysis are true $\sum_{3}^{0}$ .

Publié le : 1998-01-01

Zbl 0919.43003

EUDML-ID : urn:eudml:doc:212310

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     author = {Etienne Matheron},
     title = {How to recognize a true $\Sigma$^0\_3 set},
     journal = {Fundamenta Mathematicae},
     volume = {158},
     year = {1998},
     pages = {181-194},
     zbl = {0919.43003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv158i2p181bwm}
}

Matheron, Etienne. How to recognize a true Σ^0_3 set. Fundamenta Mathematicae, Tome 158 (1998) pp. 181-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv158i2p181bwm/

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