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MATEMATIČKI VESNIK
On the large transfinite inductive dimension of a space by a normal base
D. N. Georgiou, S. D. Iliadis, K. L. Kozlov

Abstract

The transfinite inductive dimensions of a space by a normal bases introduced by S. D. Iliadis are studied. These dimensions generalize both classical large transfinite inductive dimension and relative large transfinite inductive dimensions. The main theorems of dimension theory (sum theorem, subset theorem, product theorem) are proved.

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Keywords: Dimension-like function; Normal base.

MSC: 54B99, 54C25

Pages:  95$-$104     

Volume  61 ,  Issue  1 ,  2009