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For the preparation of this report, I solicited recommendations from all members of the Commission, and also invited them to submit very brief statements of activities of themselves or others that they believed should be considered for inclusion. I received a large number of replies (unfortunately, many in the form of extensive reprints and preprints). I have tried to incorporate most suggestions, and to summarize the activities of Commission members as well as activities described in other sources to provide as broad an account as I have been able of the developments relating to cosmology since the last General Assembly in 1979. In am sure, however, that this report falls short of being complete, especially in the areas of theoretical cosmology, in which I am not really expert.