We introduce several recursive constructions for caps in projective spaces.
These generalize the known constructions in an essential way and lead to n
ew large caps in many cases. Among our results we mention the construction
of {(q + 1)(q(2) + 3)}-caps in PG(5, q), of {q(4) + 2q(2)}-caps in PG(6, q)
and of q(2)(q(2) + 1)(2)-caps in PG(9, q).