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ArticleOriginal scientific text

Title

On Lie groups in varieties of topological groups

Authors 1, 2

Affiliations

  1. Deputy Vice Chancellor, University of South Australia, Yungondi Building, City West Campus, North Terrace, Adelaide, S.A., 5000, Australia
  2. School of Mathematical and Computing Sciences, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand

Bibliography

  1. N. Bourbaki, Lie Groups and Lie Algebras, Springer, Berlin, 1989.
  2. D. Dikranjan, I. Prodanov and L. Stoyanov, Topological Groups. Characters, Dualities, and Minimal Group Topologies, Monographs Textbooks Pure Appl. Math. 130, Marcel Dekker, New York, 1989.
  3. P. Enflo, Uniform structures and square roots in topological groups, I, Israel J. Math. 8 (1970), 230-252.
  4. E. D. Gaughan, Topological group structures of infinite symmetric groups, Proc. Nat. Acad. Sci. U.S.A. 58 (1967), 907-910.
  5. K. H. Hofmann, S. A. Morris and M. Stroppel, Varieties of topological groups, Lie groups, and SIN-groups, Colloq. Math. 70 (1996), 151-163.
  6. G. I. Kats, Isomorphic mapping of topological groups into a direct product of groups satisfying the first axiom of countability, Uspekhi Mat. Nauk 8 (1953), no. 6, 107-113 (in Russian).
  7. O O. Kobayashi, A. Yoshioka, Y. Maeda and H. Omori, The theory of infinite-dimensional Lie groups and its applications, Acta Appl. Math. 3 (1985), 71-106.
  8. S. A. Morris, Lie groups in varieties of topological groups, Colloq. Math. 30 (1974), 229-235.
  9. S. A. Morris, Varieties of topological groups. A survey, ibid. 46 (1982), 147-165.
  10. S. A. Morris and H. B. Thompson, Free topological groups with no small subgroups, Proc. Amer. Math. Soc. 46 (1974), 431-437.
  11. D. A. Raĭkov, On the completion of topological groups, Izv. Akad. Nauk SSSR Ser. Mat. 9 (1945), 513-518 (in Russian).
  12. O. V. Sipacheva and V. V. Uspenskiĭ, Free topological groups with no small subgroups, and Graev metrics, Moscow Univ. Math. Bull. 42 (1987), 24-29.
Colloquium Mathematicum
1998/78/1
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Pages:
39-47
Main language of publication
English
Received
1997-02-19
Accepted
1998-01-17
Published
1998
Exact and natural sciences