A factorization theorem for the transfinite kernel dimension of metrizable spaces
Tom 157 / 1998
Fundamenta Mathematicae 157 (1998), 79-84
DOI: 10.4064/fm-157-1-79-84
Streszczenie
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.
