Literature Cited
M. A. Lavrent'ev, “Discontinuities of one-sheeted functions in closed regions,” Dokl. Akad. Nauk SSSR,4, 207–210 (1936).
V. P. Luferenko and G. D. Suvorov, “Families of homeomorphisms that are uniformly equicontinuous in relative metrics,” Dokl. Akad. Nauk SSSR,192, No. 1, 30–33 (1970).
F. Hausdorff, Theory of Sets [Russian translation], Glav. Red. Tekhn.-teoret. Lit-ry, Moscow-Leningrad (1937).
N. Bourbaki, General Topology (Fundamental Structures) [Russian translation], Mir, Moscow (1958).
G. D. Suvorov, Families of Plane Topological Mappings [in Russian], Izd. SO AN SSSR, Novosibirsk (1966).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 2, pp. 368–383, March–April, 1972.
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Luferenko, V.P., Suvorov, G.D. Families of homeomorphisms, relative metrics, and caratheodory's theorem. Sib Math J 13, 254–265 (1972). https://doi.org/10.1007/BF00971613
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DOI: https://doi.org/10.1007/BF00971613