Separate continuity
= Separate continuity
= Separately continuous
{synonym}
A <function> of several variables is <separately continuous> when it is <continuous> in each variable with the others fixed. This is weaker than joint <continuity> in the <product topology>. <Functions> with narrow rectangular supports provide useful examples distinguishing <convergence> in <topologies> generated by <separate continuity> from Euclidean <convergence>.