On the k-ness for the products of closed images of metric spaces

Arhangel'skiĩ, 1965, Bicompact sets and the topology of spaces, Trans. Moscow Math Soc., 13, 1 Cohen, 1954, Spaces with weak topology, Quart. J. Math., 5, 77, 10.1093/qmath/5.1.77 Franklin, 1965, Spaces in which sequences suffice, Fund. Math., 74, 107, 10.4064/fm-57-1-107-115 Michael, 1964, A note on closed maps and compact sets, Israel J. Math., 2, 173, 10.1007/BF02759940 Michael, 1968, Local compactness and cartesian products of quotient maps and k-spaces, Ann. Inst. Fourier, 18, 281, 10.5802/aif.300 Michael, 1968, Bi-quotient maps and cartesian products of quotient maps, Ann. Inst. Fourier, 18, 287, 10.5802/aif.301 Michael, 1972, A quintuple quotient quest, General Topology and Appl., 2, 91, 10.1016/0016-660X(72)90040-2 Morita, 1956, On decomposition spaces of locally compact spaces, Proc. Japan Acad., 32, 544, 10.3792/pja/1195525270 Morita, 1964, Products of normal spaces with metric spaces, Math. Ann., 154, 365, 10.1007/BF01362570 Okuyama, 1964, On metricability of M-spaces, Proc. Japan Acad., 40, 176, 10.3792/pja/1195522799 Olson, 1974, Bi-quotient maps, countably bi-sequential spaces, and related topics, General Topology and Appl., 4, 1, 10.1016/0016-660X(74)90002-6 Siwiec, 1971, Sequence-covering and countably bi-quotient mappings, General Topology and Appl., 143, 10.1016/0016-660X(71)90120-6 Tanaka, 1976, Products of sequential spaces, Proc. Amer. Math. Soc., 54, 371, 10.1090/S0002-9939-1976-0397665-6 Tanaka, 1976, A characterization for the product of k-and ℵ0-spaces and related results, Proc. Amer. Math. Soc., 59, 149 Y. Tanaka, A characterization for the product of closed images of metric spaces to be a k-space, to appear in Proc. Amer. Math. Soc. Wicke, 1969, On the Hausdorff open continuous images of Hausdorff paracompact p-spaces, Proc. Amer. Math. Soc., 22, 136