Geodesic
Pairwise monotonically normal spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 567-579.

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

We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize those spaces by using a mixed condition of insertion and extension of real-valued functions. This result generalizes, at the same time improves, a well-known theorem of Heath, Lutzer and Zenor. We also obtain some solutions to the quasi-metrization problem in terms of the pairwise monotone normality.
Classification : 54C30, 54D15, 54E20, 54E35, 54E55
Keywords: pairwise monotonically normal space; quasi-metrizable bitopological space; pairwise stratifiable space; pairwise compact space 
@article{CMUC_1991__32_3_a15,
     author = {Mar{\'\i}n, Josefa and Romaguera, Salvador},
     title = {Pairwise monotonically normal spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {567--579},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {1991},
     mrnumber = {1159802},
     zbl = {0769.54034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a15/}
}
TY  - JOUR
AU  - Marín, Josefa
AU  - Romaguera, Salvador
TI  - Pairwise monotonically normal spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1991
SP  - 567
EP  - 579
VL  - 32
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a15/
LA  - en
ID  - CMUC_1991__32_3_a15
ER  - 
%0 Journal Article
%A Marín, Josefa
%A Romaguera, Salvador
%T Pairwise monotonically normal spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 1991
%P 567-579
%V 32
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a15/
%G en
%F CMUC_1991__32_3_a15
Marín, Josefa; Romaguera, Salvador. Pairwise monotonically normal spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 567-579. http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a15/