An arbor press stand is a little bit like a jib crane...there's a tall column and a person hanging from a horizontal arm.
Not all of the time but we've all been there.
The design can be as simple as a post (steel box tube) and two plates, one for the floor and one for the press-base. Good to bolt it to the floor. Good to gusset the connection at the cantilevered support (the floor plate).
The design can get more exotic to involve multiple columns which can open the door to trays or shelves for press-tooling (there's always a collection of pins and washers and tube cutoffs that follow my presses around, usually with side trips to the lathe).