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.
@article{bwmeta1.element.bwnjournal-article-fmv157i1p79bwm,
author = {M. Charalambous},
title = {A factorization theorem for the transfinite kernel dimension of metrizable spaces},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {79-84},
zbl = {0905.54022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv157i1p79bwm}
}
Charalambous, M. A factorization theorem for the transfinite kernel dimension of metrizable spaces. Fundamenta Mathematicae, Tome 158 (1998) pp. 79-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv157i1p79bwm/
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