We prove the addition and subspace theorems for asymptotic large inductive dimension. We investigate a transfinite extension of this dimension and show that it is trivial.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-5,
author = {T. Radul},
title = {Addition and subspace theorems for asymptotic large inductive dimension},
journal = {Colloquium Mathematicae},
volume = {106},
year = {2006},
pages = {57-67},
zbl = {1104.54015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-5}
}
T. Radul. Addition and subspace theorems for asymptotic large inductive dimension. Colloquium Mathematicae, Tome 106 (2006) pp. 57-67. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-5/