Geodesic
Algebraic properties of points of some infinite-dimensional metric space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Tome 179 (2020), pp. 81-87

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In this paper, we report on the development of the theory of transcendental numbers in a polyadic domain, which is an infinite-dimensional metric space, namely, the direct product of fields of $p$-adic numbers.
Keywords: infinite algebraic independence, $F$-series. 
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     author = {V. G. Chirskii},
     title = {Algebraic properties of points of some infinite-dimensional metric space},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {81--87},
     publisher = {mathdoc},
     volume = {179},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_179_a12/}
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V. G. Chirskii. Algebraic properties of points of some infinite-dimensional metric space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Tome 179 (2020), pp. 81-87. http://geodesic.mathdoc.fr/item/INTO_2020_179_a12/