  In this short note, we collect some results regarding the Remmert reduction
of holomorphically convex space and its application to a variation of the usual
union problem. Classically, the union problem asks the following question: is a
complex space, which is an increasing union of Stein subspaces $X_1\Subset
X_2\Subset\cdots$, a Stein space itself? The variation we are interested in is
the following: is a complex space, which is an increasing union of
holomorphically convex subspaces $X_1\Subset X_2\Subset\cdots$, holomorphically
convex itself? The results presented here are close analogues of (some of)
those alredy present in the literature for the Stein case; our aim is only to
collect such material for reference, as we consider it well known.
