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We study the effect of a nite topology on the temperature correlations of the cosmic microwave background in a at universe. Analytic expressions for the angular power spectrum are given for all possible nite at models. We examine the angular correlation function itself, pointing out visible and discrete features that arise from topology. While observations of the power spectrum on large angular scales can be used to place bounds on the minimum topology length, cosmic variance generally restricts us from differentiating one at topology from another. Schemes that acknowledge anisotropic structures, such as searches for ghosts, circles or geometric patterns, will be needed to probe topology further.
Scannapieco et al. (Thu,) studied this question.