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 Gaussian random field. We have obtained new mathematical results from this theory and the theory of percolation and have proposed a topological method of analysis of sky maps based on these results. We have simulated 10 degrees x10 degrees sky maps of the cosmic microwave background anisotropy expected from different cosmological models with 0.5 degrees-1 degrees resolution in order to demonstrate how this method can be used for detection of non-Gaussian noise in the maps and detection of the Doppler-peak in the spectrum of perturbation of Delta T/T.