Abstract
Let X be a topological space; a covering space of X consists of a space X̃ and a continuous map p of X̃ onto X which satisfies a certain very strong smoothness requirement. The precise definition is given below. The theory of covering spaces is important not only in topology, but also in related disciplines such as differential geometry, the theory of Lie groups, and the theory of Riemann surfaces.
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References
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© 1991 Springer Science+Business Media, LLC
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Massey, W.S. (1991). Covering Spaces. In: A Basic Course in Algebraic Topology. Graduate Texts in Mathematics, vol 127. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-9063-4_5
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DOI: https://doi.org/10.1007/978-1-4939-9063-4_5
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