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Transformation Groups

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A Basic Course in Topology

Part of the book series: Compact Textbooks in Mathematics ((CTM))

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Abstract

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In this chapter, we examine the symmetries of topological spaces. In this way, interesting new topological objects arise that deserve separate consideration. However, it is also possible to initially skim this chapter and later (for example, for Chap. 8) return to it. For a closer examination of the theory of transformation groups, we recommend.

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References

  1. Bröcker, T., & tom Dieck, T. (1995). Representations of compact lie groups. Graduate texts in mathematics (Vol. 98). Springer-Verlag.

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  2. tom Dieck, T. (1987). Transformation groups, de Gruyter studies in mathematics (Vol. 8). Walter de Gruyter & Co.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Ruhr-Universität Bochum, Bochum, Germany

    Gerd Laures

  2. School of Mathematical and Physical Sciences, University of Sheffield, Sheffield, UK

    Markus Szymik

Authors
  1. Gerd Laures
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  2. Markus Szymik
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Laures, G., Szymik, M. (2025). Transformation Groups. In: A Basic Course in Topology. Compact Textbooks in Mathematics. Birkhäuser, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-70602-2_5

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