The pseudoweight and splittability of a topological space


Lj. Kočinac




We prove I hat for every Lindelof space $X$ the pseudoweight of $X$ is equal to the splittable pseudoweight of $X$. We also prove some other results involving the splittable pseudoweight. The divisibility degree of a topological space is defined and studied. Some cardinal inequalities involving the divisibility degree are proved. It is proved that every compact divisible space is metrizable.