A lattice of conditions on topological spaces II
A metrization theorem for countably compact spaces
A new characterization of spaces with locally countable -networks
A new way to find compact zero-dimensional first countable preimages of first countable compact spaces
A nice subclass of functionally countable spaces
A space is functionally countable if is countable for any continuous function . We will call a space exponentially separable if for any countable family of closed subsets of , there exists a countable set such that whenever and . Every exponentially separable space is functionally countable; we will show that for some nice classes of spaces exponential separability coincides with functional countability. We will also establish that the class of exponentially separable spaces has...
A note on separability of the Fell-hyperspace topology
Alcuni risultati su proprietà di ricoprimento e sulla spezzabilità