Geodesic
A factorization theorem for the transfinite kernel dimension of metrizable spaces
Fundamenta Mathematicae, Tome 157 (1998) no. 1, pp. 79-84
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We prove a factorization theorem for transfinite kernel dimension in the class of metrizable spaces. Our result in conjunction with Pasynkov's technique implies the existence of a universal element in the class of metrizable spaces of given weight and transfinite kernel dimension, a result known from the work of Luxemburg and Olszewski. 
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M. G. Charalambous. A factorization theorem for the transfinite kernel dimension of metrizable spaces. Fundamenta Mathematicae, Tome 157 (1998) no. 1, pp. 79-84. doi: 10.4064/fm-157-1-79-84

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