Geodesic
Pairwise monotonically normal spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 567-579 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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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/

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