Selected old open problems in general topology

We present a selection of old problems from different domains of General Topology. Formally, the number of problems is 20, but some of them are just versions of the same question, so the actual number of the problems is 15 or less. All of them are from 30 to 50 years old, and are known to have attracted attention of many topologists. A brief survey of these problems, including some basic references to articles and comments on their present status, are given.