Geodesic
On finite sum theorems for transfinite inductive dimensions
Fundamenta Mathematicae, Tome 162 (1999) no. 1, pp. 91-98

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We discuss the exactness of estimates in the finite sum theorems for transfinite inductive dimensions trind and trInd. The technique obtained gives an opportunity to repeat and sometimes strengthen some well known results about compacta with trind ≠ trInd. In particular we improve an estimate of the small transfinite inductive dimension of Smirnov's compacta $S^α, α ω_1$, given by Luxemburg [Lu2].
DOI : 10.4064/fm-162-1-91-98
Keywords: transfinite dimension 
Vitalij A. Chatyrko. On finite sum theorems for transfinite inductive dimensions. Fundamenta Mathematicae, Tome 162 (1999) no. 1, pp. 91-98. doi: 10.4064/fm-162-1-91-98
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