Literature Cited
S. Mrówka, “Mazur theorem and m-adic spaces,” Bull. Acad. Polon. Sci. Sér. Math., Astron., Phys.,18, No. 6, 299–305 (1970).
J. Gerlits, “On a problem of S. Mrówka,” Period. Math. Hung.,4, No. 1, 71–79 (1973).
R. Marty, “On m-adic spaces,” Acta Math. Hung.,22, No. 3/4, 441–447 (1972).
G. Čertanov, “Images of products,” Abstracts Colloq. on Topology. August 9–13, 1983, Eger, Hungary.
A. V. Arkhangel'skii, “Structure and Classification of topological spaces and cardinal invariants,” Usp. Mat. Nauk,33, No. 6, 29–84 (1978).
R. Engelking, General Topology, PWN, Warsaw (1971).
C. Kuratowski, Topologie. I, 2nd ed., PWN, Warsaw (1948) [Russian translation], Mir, Moscow (1966).
W. Rudin, “Continuous functions on compact spaces without perfect subsets,” Proc. Am. Math. Soc.,8, No. 1, 39–42 (1957).
G. I. Chertanov, “Products of linearly ordered spaces and continuous maps,” Dokl. Akad. Nauk SSSR,223, No. 6, 1322–1325 (1975).
A. V. Arkhangel'skii and V. I. Ponomarev, Fundamentals of General Topology in Problems and Exercises [in Russian], Nauka, Moscow (1974).
P. S. Aleksandrov, Introduction to Set Theory and General Topology [in Russian], Nauka, Moscow (1977).
I. I. Parovichenko, “On a universal bicompactum of weight ℵ,” Dokl. Akad. Nauk SSSR,150, No. 1, 36–39 (1963).
J. Gerlits, “On a generalization of dyadicity,” Stud. Sci. Math. Hung.,13, No. 1/2, 1–17 (1978/1980).
N. A. Shanin, “On products of topological spaces,” Trudy Mat. Inst. Steklow,24, 3–111 (1948).
B. É. Shapirovskii, “Cardinal invariants in bicompacta,” in: Seminar on General Topology [in Russian], Moscow State Univ. (1981), pp. 162–167.
A. V. Arkhangel'skii, “On bicompacta which satisfy the Suslin condition hereditarily. Tightness and free sequences,” Dokl. Akad. Nauk SSSR,199, No. 6, 1227–1230 (1971).
G. I. Chertanov, “On the connection between Aronszajn trees and nonmetrizable ℵ0- monolithic linearly ordered bicompacta satisfying the first countability axiom,” Sib. Mat. Zh.,23, No. 4, 166–179 (1982).
D. J. Lutzer, “On generalized order spaces,” Rozprawy Math. (Dissert. Math.),89, 5–36 (1971).
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Saransk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 6, pp. 167–175, November–December, 1988.
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Chertanov, G.I. Continuous images of products of scattered compact spaces. Sib Math J 29, 1005–1012 (1988). https://doi.org/10.1007/BF00972427
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DOI: https://doi.org/10.1007/BF00972427