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Limits of the circles-in-the-sky searches in the determination of cosmic topology of nearly flat universes

Limits of the circles-in-the-sky searches in the determination of cosmic topology of nearly flat universes

An important observable signature of a detectable nontrivial spatial topology of the Universe is the presence in the cosmic microwave background sky of pairs of matching circles with the same distributions of temperature fluctuations---the so-called circles in the sky. Most of the recent attempts to find these circles, including the …