defin as the normal cover
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covering is normal or regular or Galois if the group of deck transformations act transitively on the fibers. It's called "normal" because this is the case if and only if the fundamental group of the covering space is a normal subgroup of that if the base.
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In mathematics, specifically algebraic topology, a covering map is a continuous function p from a topological space C to a topological space X such that each point in X has an open neighbourhood evenly covered by p. In this case, C is called a covering space and X the base space of the covering projection
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