ON EXTENSION OF CERTAIN MAP FROM A TOPOLOGICAL-SPACE TO A BITOPOLOGICAL SPACE

In the present paper, we derive a few necessary and sufficient conditions, under which a certain type of functions from a topological space X to a bitopological space Y can be extended to any extension space X* of X. The deliberations ultimately lead us to achieve, as a particular case, the famous Taimanov's12 theorem on extension of continuous maps.