V. G. Chirskii, “Algebraic properties of points of some infinite-dimensional metric space”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020, Volume 179,Pages <nobr>81

Algebraic properties of points of some infinite-dimensional metric space

V. G. Chirskii^ab

^a Lomonosov Moscow State University
^b Moscow State Pedagogical University

Abstract: 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.

UDC: 511.36

MSC: 11J91, 11J61

DOI: 10.36535/0233-6723-2020-179-81-87