On the Determination of the Mean Cosmic Matter Density and the Amplitude of Density Fluctuations

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The cosmological implications from a new estimate of the local X-ray galaxy cluster abundance are summarized. The results are then compared to independent observations. It is suggested that `low' values for the mean cosmic matter density and the amplitude of mass density fluctuations currently do not appear unreasonable observationally.
6 pages; to be published in the Proceedings of the Conference on Matter and Energy in Clusters of Galaxies, Chung-Li (2002), editors: S. Bowyer and C.-Y. Hwang; also available at http://www.reiprich.net

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