The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The concept of the distinguished sets is applied to the investigation
of the functionally countable spaces. It is proved that every Baire
function on a functionally countable space has a countable image. This is a
positive answer to a question of R. Levy and W. D. Rice.
2000 Mathematics Subject Classification: 54C60, 54C65, 54D20, 54D30.
In the present paper the Lindelöf number and the degree of compactness of spaces and of the cozero-dimensional kernel of paracompact spaces are characterized in terms of selections of lower semi-continuous closed-valued mappings into complete metrizable (or discrete) spaces.
Download Results (CSV)