Geodesic
A generalization of a generic theorem in the theory of cardinal invariants of topological spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 177-187.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The main goal of this paper is to establish a technical result, which provides an algorithm to prove several cardinal inequalities and relative versions of cardinal inequalities related to the well-known Arhangel'skii's inequality: If $X$ is a $T_2$-space, then $|X|\leq 2^{L(X)\chi (X)}$. Moreover, we will show relative versions of three well-known cardinal inequalities.
Classification : 54A25
Keywords: cardinal functions; cardinal inequalities 
@article{CMUC_2007__48_1_a13,
     author = {Ram{\'\i}rez-P\'aramo, Alejandro and Tapia-Bonilla, No\'e Trinidad},
     title = {A generalization of a generic theorem in the theory of cardinal invariants of topological spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {177--187},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {2007},
     mrnumber = {2338838},
     zbl = {1199.54034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2007__48_1_a13/}
}
TY  - JOUR
AU  - Ramírez-Páramo, Alejandro
AU  - Tapia-Bonilla, Noé Trinidad
TI  - A generalization of a generic theorem in the theory of cardinal invariants of topological spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2007
SP  - 177
EP  - 187
VL  - 48
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2007__48_1_a13/
LA  - en
ID  - CMUC_2007__48_1_a13
ER  - 
%0 Journal Article
%A Ramírez-Páramo, Alejandro
%A Tapia-Bonilla, Noé Trinidad
%T A generalization of a generic theorem in the theory of cardinal invariants of topological spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 2007
%P 177-187
%V 48
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2007__48_1_a13/
%G en
%F CMUC_2007__48_1_a13
Ramírez-Páramo, Alejandro; Tapia-Bonilla, Noé Trinidad. A generalization of a generic theorem in the theory of cardinal invariants of topological spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 177-187. http://geodesic.mathdoc.fr/item/CMUC_2007__48_1_a13/