Abstract
If X and Y are topological spaces, a covering map is a continuous mapping p: Y→X with the property that each point of X has an open neighborhood N such that p−1(N) is a disjoint union of open sets, each of which is mapped homeomorphically by p onto N. (If N is connected, these must be the components of p−1(N).) One says that p is evenly covered over such N. Such a covering map is called a covering of X.
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© 1995 Springer Science+Business Media, Inc.
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Fulton, W. (1995). Covering Spaces. In: Algebraic Topology. Graduate Texts in Mathematics, vol 153. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4180-5_11
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DOI: https://doi.org/10.1007/978-1-4612-4180-5_11
Publisher Name: Springer, New York, NY
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