It is known that for an entire function f ofintothe set of points a with limr-xmf(r,a)=∞ is of logarithmic capacity zero, and conversely given any setEof logarithmic capacity zero inthere exists an entire function f such that limr-xmf(r,a) ≡ ∞ for every aεE, where mf(r,a) denotes the Nevanlinna proximity function of a. In this note we shall generalize these results to a holomorphic mapping ofinto complex projective spacePm(or a holomorphic curve ofintoPm).