A factorization theorem for the transfinite kernel dimension of metrizable spaces

M. Charalambous

ArticleOriginal scientific text

Title

A factorization theorem for the transfinite kernel dimension of metrizable spaces

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Affiliations

Department of Mathematics, University of the Aegean, Karlovassi 83200, Samos, Greece

Abstract

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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Title

A factorization theorem for the transfinite kernel dimension of metrizable spaces

Affiliations

Abstract

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