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Topological Groups

(Elementary Theory)

  • Chapter
General Topology

Part of the book series: Elements of Mathematics ((volume 18))

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Abstract

In the first four sections of this chapter the law of composition of a group will generally be written multiplicatively, and e shall denote the identity element; translation of results into additive notation (which, we recall, is reserved exclusively to commutative groups) is usually left to the reader.

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Bibliography

  1. O. Schreier, Abstrakte kontinuierliche Gruppen, Hamb. Abh.4 (1926), p. 15.

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  2. L. Pontrjagin, Topologische Gruppen, 2 volumes, Leipzig (Teubner), 1957.

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  3. A. Weil, L’intégration dans les groupes topologiques et ses applications, Act. Sci. et Ind. no. 869, Paris (Hermann) 1940 [2nd edition, no. 869–1145, Paris (Hermann), 1953].

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  4. D. Montgomery and L. Zippin, Topological Transformation Groups, New York (Interscience), 1955.

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© 1995 Springer-Verlag Berlin Heidelberg

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Bourbaki, N. (1995). Topological Groups. In: General Topology. Elements of Mathematics, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61701-0_5

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  • DOI: https://doi.org/10.1007/978-3-642-61701-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64241-1

  • Online ISBN: 978-3-642-61701-0

  • eBook Packages: Springer Book Archive

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