Geodesic
Sets of extended uniqueness and $\sigma$-porosity
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 337-341.

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We show that there exists a closed non-$\sigma$-porous set of extended uniqueness. We also give a new proof of Lyons' theorem, which shows that the class of $H^{(n)}$-sets is not large in $U_0$.
Classification : 28A05, 42A63, 43A46
Keywords: $\sigma $-porosity; sets of extended uniqueness; trigonometric series; $H^{(n)}$-sets 
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     title = {Sets of extended uniqueness and $\sigma$-porosity},
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Zelený, Miroslav. Sets of extended uniqueness and $\sigma$-porosity. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 337-341. http://geodesic.mathdoc.fr/item/CMUC_1997__38_2_a13/