Geodesic
On finite sum theorems for transfinite inductive dimensions
Fundamenta Mathematicae, Tome 162 (1999) no. 1, pp. 91-98.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We discuss the exactness of estimates in the finite sum theorems for transfinite inductive dimensions trind and trInd. The technique obtained gives an opportunity to repeat and sometimes strengthen some well known results about compacta with trind ≠ trInd. In particular we improve an estimate of the small transfinite inductive dimension of Smirnov's compacta $S^α, α ω_1$, given by Luxemburg [Lu2].
DOI : 10.4064/fm-162-1-91-98
Keywords: transfinite dimension

Vitalij A. Chatyrko 1

1 
@article{10_4064_fm_162_1_91_98,
     author = {Vitalij A. Chatyrko},
     title = {On finite sum theorems for transfinite inductive dimensions},
     journal = {Fundamenta Mathematicae},
     pages = {91--98},
     publisher = {mathdoc},
     volume = {162},
     number = {1},
     year = {1999},
     doi = {10.4064/fm-162-1-91-98},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-162-1-91-98/}
}
TY  - JOUR
AU  - Vitalij A. Chatyrko
TI  - On finite sum theorems for transfinite inductive dimensions
JO  - Fundamenta Mathematicae
PY  - 1999
SP  - 91
EP  - 98
VL  - 162
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-162-1-91-98/
DO  - 10.4064/fm-162-1-91-98
LA  - en
ID  - 10_4064_fm_162_1_91_98
ER  - 
%0 Journal Article
%A Vitalij A. Chatyrko
%T On finite sum theorems for transfinite inductive dimensions
%J Fundamenta Mathematicae
%D 1999
%P 91-98
%V 162
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-162-1-91-98/
%R 10.4064/fm-162-1-91-98
%G en
%F 10_4064_fm_162_1_91_98
Vitalij A. Chatyrko. On finite sum theorems for transfinite inductive dimensions. Fundamenta Mathematicae, Tome 162 (1999) no. 1, pp. 91-98. doi : 10.4064/fm-162-1-91-98. http://geodesic.mathdoc.fr/articles/10.4064/fm-162-1-91-98/

Cité par Sources :