Literature Cited
V. J. Moncuso, “n-ANR's for certain normal spaces,” Canad. J. Math.,19, No. 3, 629–635 (1967).
M. Katetov, “Dimensionality of nonseparable spaces II,” Czechosl. Math. J.,6(81), 485–516 (1956).
O. Hanner, “Solid spaces and absolute retracts,” Ark. Mat.,1, 375–382 (1951).
C. H. Dowker, “On a theorem of Hanner,” Ark. Mat.,2, 307–313 (1952).
B. A. Pasynkov, “Universal bicompact and metric spaces of a given dimension,” Fun. Math.,60, No. 3, 285–308 (1967).
A. V. Arkhangel'skii, “Class of spaces containing all metric and all locally-bicompact spaces,” Matem. Sb.,67(109), No. 1, 55–88 (1965).
K. Morita, “Products of normal spaces with metric spaces,” Math. Ann.,154, 365–388 (1964).
O. Hanner, “Mappings of metric and nonmetric spaces,” Ark. Mat.,2, 315–360 (1952).
J. Dugundji, “An extension of Tietze's theorem,” Pacif. J. Math.,1, 353–367 (1951).
R. H. Bing, “Metrization of topological spaces,” Canad. J. Math.,3, 175–194 (1951).
Yu. M. Smirnov, “Strongly-paracompact spaces,” Izv. Akad. Nauk SSSR,20, 253–274 (1956).
E. Michael, “Some extension theorems for continuous functions,” Pacif. J. Math.,3, 789–806 (1953).
B. H. McCandless, “On a theorem of Hanner and Dowker,” Port. Math.,26, No. 4, 479–482 (1967).
Y. Kodama, “On LCn metric spaces,” Proc. Jap. Acad.,33, 79–83 (1957).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 1, pp. 128–139, January–February, 1973.
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Lisitsa, Y.T. Extension of continuous maps and the factorization theorem. Sib Math J 14, 90–96 (1973). https://doi.org/10.1007/BF00967268
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DOI: https://doi.org/10.1007/BF00967268