Abstract
We improve some known inequalities describing the mutual relation between small transfinite dimension and transfinite dimension $D$ in separable metrizable spaces. We also estimate small transfinite dimension of a product with a finite-dimensional factor, generalizing the results due to Luxemburg.
Citation
Vitalij A. Chatyrko. Yasunao Hattori. "Estimations of small transfinite dimension in separable metrizable spaces." Tsukuba J. Math. 25 (2) 221 - 228, December 2001. https://doi.org/10.21099/tkbjm/1496164283
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