You can view spaces (and zones) in the System Browser.
However, instead of viewing the actual spaces, you view spaces in a zone/space hierarchy. Spaces are organized according to the zones that they are in. There are 2 types of zones: Zones that you or someone else has created, and the Default zone. After spaces have been placed in a model, Revit immediately assigns those spaces to the Default zone. Each space must be in a zone. After spaces are added to a zone, the spaces are moved from the Default zone to the target zone. This workflow is similar to assigning system components to systems.
To display spaces in the System Browser, open the System Browser. You can press F9 with a view active, or click View tabUser Interface drop-downSystem Browser to open the System Browser. In the View bar, click Systems and select Zones. Spaces are organized under the Default zone, and under zones that you create.
To select a space in the System Browser, while pressing Ctrl, select the space. The selected space highlights in red in the floor plan or section view. You can also right-click the space, and select, show, or delete the space, or view space properties.