We present a comparison between two observational and three theoretical mass functions for eight cosmological models suggested by the data from the recently completed BOOMERANG-98 and MAXIMA-1 cosmic microwave background (CMB) anisotropy experiments as well as peculiar velocities (PVs) and type Ia supernovae (SN) observations. The cosmological models have been proposed as the best fit models by several groups. We show that no model is in agreement with the abundances of X-ray clusters at ∼ 1014.7h−1M⊙. On the other hand, we find that the BOOM+MAX+COBE:I, Refined Concordance and ΛMDM are in a good agreement with the abundances of optical clusters. The P11 and especially Concordance models predict a slightly lower abundances than observed at ∼ 1014.6h−1M⊙. The BOOM+MAX+COBE:II and PV+CMB+SN models predict a slightly higher abundances than observed at ∼ 1014.9h−1M⊙. The nonflat MAXIMA-1 is in a fatal conflict with the observational cluster abundances and can be safely ruled out. Subject headings: cosmology:theory — cosmology:observation — galaxies: clusters: general — large-scale structure of universe – 3 – 1
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