On the dimension of products of infinite-dimensional compacta

P. S. Aleksandrov and B. A. Pasynkov, Introduction to Dimension Theory. Introduction to the Theory of Topological Spaces and General Dimension Theory [in Russian], Nauka, Moscow (1973). K. Kuratowski and A. Mostowski, Theory of Sets [Russian translation], Mir, Moscow (1970). R. Engelking, “Transfinite dimension,” in: Surveys in General Topology, Academic Press, New York, 1980, pp. 131–161. V. A. Chatyrko, “Weakly infinite-dimensional spaces,” Uspekhi Mat. Nauk,46, No. 3, 161–177 (1991). G. H. Toulmin, “Chuffling ordinals and transfinite dimension,” Proc. London Math Soc., No. 4, 177–195 (1954). B. A. Pasynkov, “On inductive dimensions,” Dokl. Akad. Nauk SSSR,189, No. 2, 254–256 (1969). Yu. M. Smirnov, “On universal spaces for certain classes of spaces,” Izv. Akad. Nauk SSSR Ser. Mat.,23, No. 2, 185–196 (1959). D. W. Henderson, “A lower bound for transfinite dimension,” Fund. Math.,64, 167–173 (1968). B. T. Levshenko, “On infinite-dimensional spaces,” Dokl. Akad. Nauk SSSR,139, No. 2, 286–289 (1961). V. V. Filippov, “On inductive dimension of a product of bicompacta,” Dokl. Akad. Nauk SSSR,202, No. 5, 1016–1019 (1972). P. Borst, “Classification of weakly infinite-dimensional spaces. I: A transfinite extension of the covering dimension,” Fund. Math.,130, 1–25 (1988). P. Borst, “Classification of weakly infinite-dimensional spaces. II: Essential mappings,” Fund. Math.,130, 74–99 (1988). L. A. Lyuksemburg, “On compact sets with noncoincident transfinite dimensions,” Dokl. Akad. Nauk SSSR,212, No. 6, 1297–1300 (1973).