Michael G. Charalambous
Abstract
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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 tra
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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 tra
Key concepts: Transfinite number, Metrization theorem, Mathematics, Kernel (algebra), Pure mathematics, Factorization, Dimension (graph theory), Class (philosophy)