Literature Cited
H. Buchwalter, Topologies, Bornologies et Compactologies, Thse doct. sci. math., Fac. sci. Univ. Lyon, p. 144 (1968).
H. Hogbe-Nlend “Theories des bornologies et applications,” Lect. Notes Math., No. 213, IV, p. 168 (1971).
V. A. Geiler, I. F. Danilenko and I. I. Chuchaev, “The connection between relatively uniform convergence and normality of a cone in an ordered vector space,” in the book: Optimization [in Russian], No. 12 (29), Sibirskii Otdel Akad. Nauk SSSR, Novosibirsk (1973), pp. 29–33.
B. Z. Vulikh, An Introduction to the Theory of Semiordered Spaces [in Russian], Fizmatgiz (1961).
H. Schiffer, Topological Vector Spaces [Russian translation], Mir (1971).
S. O. Iyahen, “On certain classes of linear topological spaces,” Proc. London Math. Soc., No. 2, pp. 285–307 (1968).
S. Mazur and W. Orlicz, “Sur les espaces lineaires metriques, I,” Studia Math.,10, pp. 184–208 (1948).
J.-P. Ligaud, “Classes d'espaces vectoriels topologiques possedant la propriete de Mazur et Orlicz,” Comtes Rendus Acad. Sci., A,273, No. 25, pp. 1233–1235 (1971).
G. Jameson, “Ordered linear spaces,” Lect. Notes Math., No. 141, XVI, p. 194 (1970).
I. I. Chuchaev, “A generalization of the concept of solid and infrasolid cone,” Sibir. Mat. Zhur.,15, No. 3, pp. 609–615 (1974).
D. A. Raikov, “A two-sided closed graph theorem for topological linear spaces,” Sibir. Mat. Zhur.,7, No. 2, pp. 353–372 (1966).
M. De Wilde, “Reseaux dans les espaces lineaires a seminormes,” Mem. Soc. Roy. Sci. Liege,18, No. 2, pp. 1–144 (1969).
G. Ya. Lozanovskii, “The completeness of linear functions in semiorder spaces,” Mat. Zameti,8, No. 2, pp. 187–195 (1970).
Y.-C. Wong, “The relationship between order completeness and topological completeness,” Mat. Ann.,199, No. 1, 73–82 (1972).
M. De Wilde and C. Sunyach, “Un theoreme de selection pour des applications a graphe borelien,” Comtes Rendus Acad. Sci., A.,269, No. 6, pp. 273–274 (1969).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 3, pp. 501–509, May–June, 1974.
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Geiler, V.A., Danilenko, I.F. & Chuchaev, I.I. Bornological methods in ordered topological vector spaces. Sib Math J 16, 383–389 (1975). https://doi.org/10.1007/BF00967529
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DOI: https://doi.org/10.1007/BF00967529