Definition
N is the space of all natural numbers with discrete topology. A topological space X is said to be N-compact if it is homeomorphic to some closed subspace of a product of copies of N.
Remark
See E-compact.
Reference
Kim-Peu Chew, N-compact spaces as limits of inverse systems of discrete spaces, J. Australian Math. Soc., Vol.14, 04 (1972) pp.467-469.