covering space

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English

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Noun

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covering space (plural covering spaces)

  1. (topology) The domain of a covering of a topological space; the covering together with its domain. (See Usage notes at covering).
    • 2019, William S. Massey, A Basic Course in Algebraic Topology, page 132:
      Let (X, p) be a covering space of X such that X is simply connected.