We discuss point sources foregrounds for the MAP experiment. We consider
several possible strategies for removing them and we assess how the statistics
of the CMB signal are affected by the residual sources. Assuming a power law
distribution for the point sources, we propose a method aimed to determine the
slope of the distribution from the analysis of the moments of the observed
maps. The same method allows for a determination of the underlying CMB
variance. We conclude that the best strategy for point sources finding is the
simultaneous thresholding of the filtered map at all frequencies, with a
relatively low threshold. With this strategy, we expect to find 70 (95)% of the
sources above 3 (4) σ. Assuming the most conservative case for point
sources detection, the recovered slope of the point sources distribution is
2.55±0.15, for a fiducial n=2.5 value. The recovered CMB pus noise map
variance is within 0.2% from the real one, with a standard deviation of 0.31, while Cosmic variance contributes 2.2% to the same CMB plus noise map.Comment: 21 pages, 8 figures. Submitted to Ap