You can use a correlated subquery to find the types of books that are published by more than one publisher:
select distinct t1.type from titles t1 where t1.type in (select t2.type from titles t2 where t1.pub_id != t2.pub_id)
type -------------------- business psychology
Correlation names are required in the following query to distinguish between the two roles in which the titles table appears. This nested query is equivalent to the self-join query:
select distinct t1.type from titles t1, titles t2 where t1.type = t2.type and t1.pub_id != t2.pub_id