On \(M_1\)- and \(M_3\)-properties in the setting of ordered topological spaces
A space \(X\) is called an \(M_1\)-space if there is a \(\sigma\)-closure preserving base for \(X\), an \(M_2\)-space if there exists a \(\sigma\)-closure preserving quasi-base for \(X\), and an \(M_3\)-space (also \textit{stratifiable space}) if there exists a \(\sigma\)-cushioned pair base for \(X\). It is known that \(M_1\Rightarrow M_2\Leftrightarrow M_3.\) In the present paper, the authors present some result about the \(M_1\)- and \(M_3\)-properties in the setting of ordered topological spaces and the corresponding classes of bitopological spaces.
scientific article; zbMATH DE number 6638685