  Observations show that the Cosmic Microwave Background (CMB) contains tiny
variations at the 10^{-5} level around its black-body equilibrium temperature.
The detection of these temperature fluctuations provides to modern Cosmology
evidence for the existence of primordial density perturbations that seeded all
the structures presently observed. The vast majority of the cosmological
information is contained in the 2-point temperature function, which measures
the angular correlation of these temperature fluctuations distributed on the
celestial sphere. Here we study such angular correlations using a recently
introduced statistic-geometrical method. Moreover, we use Monte Carlo simulated
CMB temperature maps to show the equivalence of this method with the 2-point
temperature function (best known as the 2-Point Angular Correlation Function).
We also investigate here the robustness of this new method under possible
divisions of the original catalog-data in sub-catalogs. Finally, we show some
applications of this new method to simple cases.
