Geodesic
Maps to Spaces of Compacta Determined by Limit Sets
Matematičeskie zametki, Tome 93 (2013) no. 3, pp. 368-372

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For a sequence of functions on the unit disk $D\subset\mathbb C$, the map of the boundary circle to a space of compact sets with Hausdorff metric which takes each point $e^{i\theta}\in\partial D$ to the limit set of the sequence of functions at this point is considered. It is shown that such a map is of Borel class at most 4.
Keywords: Borel map, limit set of a sequence of functions, Hausdorff metric.
Mots-clés : Borel class 
@article{MZM_2013_93_3_a4,
     author = {A. P. Devyatkov},
     title = {Maps to {Spaces} of {Compacta} {Determined} by {Limit} {Sets}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {368--372},
     publisher = {mathdoc},
     volume = {93},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_3_a4/}
}
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A. P. Devyatkov. Maps to Spaces of Compacta Determined by Limit Sets. Matematičeskie zametki, Tome 93 (2013) no. 3, pp. 368-372. http://geodesic.mathdoc.fr/item/MZM_2013_93_3_a4/