On some topological properties in the class of Alexandroff spaces
Sami Lazaar, Houssem Sabri, Randa Tahri · TURKISH JOURNAL OF MATHEMATICS · 2020
In the class of Alexandroff spaces we study the properties of being a submaximal, door, Whyburn and weakly Whyburn space. We provide characterizations in order theoretical terms. Connections with posets, counting formulas and numerical results in the class of finite spaces are also given.