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A homotopy theoretic approach to lie groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 438)

Keywords

  • Weyl Group
  • Semidirect Product
  • Maximal Torus
  • Homotopy Type
  • Springer Lecture Note

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References

  1. J. M. Boardman and R. M. Vogt, Homotopy-everything H-spaces, Bull. Am. Math. Soc. 74 (1968) 1117–1122.

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  2. Morton Curtis, Alan Wiederhold and Bruce Williams, Normalizers of Maximal Tori, to appear in Springer Lecture Notes.

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  3. Albrecht Dold and Richard Lashof, Principal quasi-fibrations and fibre homotopy equivalence of bundles, Illinois J. Math. 3 (1959), 285–305.

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  4. J. Peter May, Simplicial Objects in Algebraic Topology, van Nostrand, 1967.

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  5. John Milnor, Construction of universal bundles, I, Ann. of Math. (2) 63 (1956) 272–284.

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  6. David Rector, Subgroups of finite dimensional topological groups, J. Pure and Appl. Algebra 1 (1971) 253–273.

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  7. _____, Loop structures on the homotopy type of S 3, Springer Lecture Notes 249 (1971) 99–105.

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© 1975 Springer-Verlag

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Curtis, M. (1975). A homotopy theoretic approach to lie groups. In: Glaser, L.C., Rushing, T.B. (eds) Geometric Topology. Lecture Notes in Mathematics, vol 438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066111

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  • DOI: https://doi.org/10.1007/BFb0066111

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07137-2

  • Online ISBN: 978-3-540-37412-1

  • eBook Packages: Springer Book Archive