  The aim of this article is to prove Zariski density of crystalline
representations in the rigid analytic space associated to the universal
deformation ring of a d-dimensional mod p representation of Gal(\bar{K}/K) for
any d and for any p-adic field K. This is a generalization of the results of
Colmez, Kisin (d=2, K=Q_p), of the author (d=2, any K), of Chenevier (any d,
K=Q_p). A key ingredient for the proof is to construct a p-adic family of
trianguline representations. In this article, we construct (an approximation
of) this family by generalizing Kisin's theory of finite slope subspace X_{fs}
for any d and for any K.
