Abstract
In this section, we briefly review the notion of the fundamental group of a topological space. For a more detailed treatment, the reader should consult any standard book on algebraic topology, such as [Hat, Chapter 1]. Let X be any path-connected Hausdorff topological space and let x0 be a fixed point in X (the “basepoint”).
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References
Hatcher, A.: Algebraic Topology. Cambridge University Press, Cambridge (2002). A free (and legal!) electronic version of the text is available from the author’s web page at www.math.cornell.edu/~hatcher/AT/AT.pdf
Rudin, W.: Principles of Mathematical Analysis, 3rd edn. International Series in Pure and Applied Mathematics. McGraw-Hill, New York-Auckland-Düsseldorf (1976)
Lee, J.: Introduction to Smooth Manifolds. 2nd edn. Graduate Texts in Mathematics, vol. 218. Springer, New York (2013)
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Hall, B. (2015). Fundamental Groups of Compact Lie Groups. In: Lie Groups, Lie Algebras, and Representations. Graduate Texts in Mathematics, vol 222. Springer, Cham. https://doi.org/10.1007/978-3-319-13467-3_13
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DOI: https://doi.org/10.1007/978-3-319-13467-3_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13466-6
Online ISBN: 978-3-319-13467-3
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