WordNet records no synonym and no antonym for university. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
establishment where a seat of higher learning is housed, including administrative and living quarters as well as facilities for research and teaching
a large and diverse institution of higher learning created to educate for life and for a profession and to grant degrees
Synonyms, antonyms and the broader and narrower relations for university come from Princeton University’s WordNet. Full sources and licences.