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A factorization theorem for the transfinite kernel dimension of metrizable spaces

M. Charalambous — 1998

Fundamenta Mathematicae

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.

A remark on R. G. Woods' paper "The minimum uniform compactification of a metric space" (Fund. Math. 147 (1995), 39–59)

M. Charalambous — 1996

Fundamenta Mathematicae

A question raised in R. G. Woods' paper has a simple solution.

Spaces with increment of dimension n

M. Charalambous — 1976

Fundamenta Mathematicae

A note on the dimension of products

Charalambous, M. G. — 1977

General topology and its relations to modern analysis and algebra IV

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