On the Large Transfinite Inductive Dimension of a Space by a Normal Base

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.

Cite this paper

@inproceedings{VESNIK2009OnTL, title={On the Large Transfinite Inductive Dimension of a Space by a Normal Base}, author={MATEMATIQKI VESNIK and Dimitris N. Georgiou and Stavros Iliadis and Kirill Lenarovich Kozlov}, year={2009} }