Pairwise monotonically normal spaces.
Pairwise monotonically normal spaces
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.
Pairwise s-normal spaces
Paracompactness in ordered spaces
Pointless uniformities. I. Complete regularity
Précompactologies et structures uniformes
Preparacompactness and ℵ-preparacompactness in q-spaces
Products of normal spaces with Lašnev spaces
Products of perfectly normal spaces