This article is cited in 1 paper

Mathematics

The inductive dimension of a space by its normal base

D. Georgiou^a, S. Iliadis^a, K. L. Kozlov<sup>b

a</sup> Department of Mathematics, University of Patras, Greece
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: {Properties of the large inductive dimension of a space by its normal base introduced by S. Iliadis are studied. The proposed dimension-like functions generalize both classic dimensions $\operatorname{Ind}$, $\operatorname{Ind}_0$ and relative inductive dimensions $\mathrm{I}$. It is shown what properties of the normal base characterize the fullfilment of basic classic theorems of the dimension theory (sum, subset and product theorems).

Key words: large inductive dimension, normal base, sum, subset and product theorems.

UDC: 515.127

Received: 12.05.2008

Bibliographic databases:

• 
•