On $G-$–transitive version of perfectly meager sets
Mathematica Moravica, Tome 24 (2020) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We study the $G-$ invariant version of perfectly meager sets (a generalization of the notion of AFC' sets). We find the necessary and sufficient conditions for the inclusion $AFC'_G \subseteq \mathcal{I}$. In particular, we partially characterize for which groups $G$ of automorphisms of the Cantor space every $\mathrm{AFC}'_{G}$ set is Lebesgue null.
Mots-clés : Perfectly meager sets, strongly meager sets, AFC' sets. 
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     author = {Andrzej Nowik},
     title = {On $G-${\textendash}transitive version of perfectly meager sets},
     journal = {Mathematica Moravica},
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     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2020},
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Andrzej Nowik. On $G-$–transitive version of perfectly meager sets. Mathematica Moravica, Tome 24 (2020) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2020_24_1_a4/