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/