Functionally countable spaces and their applications‎‎.

‎‎‎A space is functionally countable if the image of any continuous real-valued function defined on is countable. This class was introduced more than 60 years ago and there are still quite a few topologists whose work involves discovering new important facts about functionally countable spaces. This talk will feature an outline of relevant results, both old and new, together with a compendium of open problems which will show that there are still many interesting research projects in this area.