  The information theory approach is suggested to the Cosmic Microwave
Background (CMB) problem for negatively curved homogeneous and isotropic
Universe. Namely, the Kolmogorov complexity of anisotropy of spots in CMB sky
maps is proposed as a new descriptor for revealing crucial cosmological
information, particularly on the curvature of the Universe. Such profound
descriptor can be especially valuable while analyzing the data of forthcoming
space and ground based experiments MAP, Planck surveyor, CAT, etc.
