  We study a 2D exchange model with a weak static random field on lattices
containing over one hundred million spins. Ferromagnetic correlations persist
on the Imry-Ma scale inversely proportional to the random-field strength and
decay exponentially at greater distances. We find that the average energy of
the correlated area is close to the ground-state energy of a skyrmion, while
the topological charge of the area is close to $\pm 1$. Correlation function of
the topological charge density exhibits oscillations with a period determined
by the ferromagnetic correlation length, while its Fourier transform exhibits a
maximum. These findings suggest that static randomness transforms a 2D
ferromagnetic state into a skyrmion-antiskyrmion glass.
