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Covering Projections

  • Satya DeoEmail author
Chapter
  • 2.2k Downloads
Part of the Texts and Readings in Mathematics book series (TRIM, volume 27)

Abstract

Let exp: \( {\mathbb{R}} \to {\mathbb{S}}^{1} \) denote the normalized exponential map defined by exp(t) = e2πit, t\( {\mathbb{R}} \). Recall that this map has the Path Lifting Property as well as the Homotopy Lifting Property. We now wish to generalize these results to a wider class of continuous maps p: \( \tilde{X} \)→ X, called covering projections. The theory of covering projections is of great importance not only in topology, but also in other branches of mathematics like complex analysis, differential geometry and Lie groups, etc.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency 2018

Authors and Affiliations

  1. 1.Harish-Chandra Research InstituteAllahabadIndia

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