Some of Melvin Henriksenʼs contributions to spaces of ideals

The three of us have written this note to discuss Mel Henriksenʼs joint paper with us, Joincompact spaces, continuous lattices and C ⁎ -algebras. In this paper we learned that the space of closed primal ideals of a C ⁎ -algebra is a continuous lattice, so it is joincompact when equipped with the lower and Scott topologies. In addition to its mathematics, we discuss how Mel brought us into this work, and his and its continuing influence on us.