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Two types of universe, with and without a center, are discussed; and theirimplications for the observed cmb (cosmic microwave background radiation)dipole are described. Theorems useful for understanding the cause for a cmbdipole are presented. Using the theorems stated and all existing data, acomputation for the location of the center of the universe has been performed.In the universe without center, however, a complication arises by theappearance of the apparent center after the expansion of the universe hasproceeded.

Universes with and without a center