Part of the book series:Compact Textbooks in Mathematics ((CTM))
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Abstract
Bundles are an essential class of maps that generalise coverings. The fibre of a general bundle must no longer be discrete but can be any topological space. Important examples of fibre bundles are principal bundles and vector bundles, whose fibres are topological groups and vector spaces, respectively. This chapter introduces these concepts.
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References
Hatcher, A. (2002).Algebraic topology. Cambridge University Press.
Husemoller, D. (1994).Fibre bundles (3rd ed., Vol. 20).Graduate texts in mathematics. Springer-Verlag.
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Fakultät für Mathematik, Ruhr-Universität Bochum, Bochum, Germany
Gerd Laures
School of Mathematical and Physical Sciences, University of Sheffield, Sheffield, UK
Markus Szymik
- Gerd Laures
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- Markus Szymik
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Laures, G., Szymik, M. (2025). Bundles and Fibrations. In: A Basic Course in Topology. Compact Textbooks in Mathematics. Birkhäuser, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-70602-2_9
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