THE TOPOLOGY OF THE COSMIC MICROWAVE BACKGROUND ANISOTROPY ON THE SCALE SIMILAR-TO-1-DEGREES

In this paper we develop the theory of clusterization of peaks in a Ga ussian random field. We have obtained new mathematical results from th is theory and the theory of percolation and have proposed a topologica l method of analysis of sky maps based on these results. We have simul ated 10 degrees x10 degrees sky maps of the cosmic microwave backgroun d anisotropy expected from different cosmological models with 0.5 degr ees-1 degrees resolution in order to demonstrate how this method can b e used for detection of non-Gaussian noise in the maps and detection o f the Doppler-peak in the spectrum of perturbation of Delta T/T.