  In various articles, it is said that the class of all soft topologies on a
common universe forms a complete lattice, but in this paper, we prove that it
is a complete lattice. Some soft topologies are maximal and some are minimal
with respect to certain soft topological properties. We study the properties of
soft compact and soft connected topologies that are maximal. In particular, we
prove that a maximal soft compact topology has identical families of soft
compact and soft closed sets, and it is also soft $T_1$.
