While Solr facets and metadata display can show the collection an object belongs to, the object label given is "info:fedora/[PID]", which is not a useful display.
Example search results, using RELS_EXT_isMemberOfCollection_uri_ss for facet and display:
infofedora islandoraroot (12)
infofedora ircitationcollection (6)
METADATA DISPLAY FOR AN OBJECT:
dc.title: Numerical modelling of airflow within and above forests and forest clearings using computational fluid dynamics.
Preference would be to display the collection's dc.title field (or similar). Example ways to implement here:
A new field like the one Jared offers in the linked discussion would be a very useful Core feature.
The above results came from Vagrant.