On Lie groups in varieties of topological groups

Sidney Morris; Vladimir Pestov

Colloquium Mathematicae (1998)

  • Volume: 78, Issue: 1, page 39-47
  • ISSN: 0010-1354

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Morris, Sidney, and Pestov, Vladimir. "On Lie groups in varieties of topological groups." Colloquium Mathematicae 78.1 (1998): 39-47. <http://eudml.org/doc/210604>.

@article{Morris1998,
author = {Morris, Sidney, Pestov, Vladimir},
journal = {Colloquium Mathematicae},
keywords = {varieties of topological groups; Banach-Lie group; minimal group topologies; locally minimal groups; no small subgroups},
language = {eng},
number = {1},
pages = {39-47},
title = {On Lie groups in varieties of topological groups},
url = {http://eudml.org/doc/210604},
volume = {78},
year = {1998},
}

TY - JOUR
AU - Morris, Sidney
AU - Pestov, Vladimir
TI - On Lie groups in varieties of topological groups
JO - Colloquium Mathematicae
PY - 1998
VL - 78
IS - 1
SP - 39
EP - 47
LA - eng
KW - varieties of topological groups; Banach-Lie group; minimal group topologies; locally minimal groups; no small subgroups
UR - http://eudml.org/doc/210604
ER -

References

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  1. [1] N. Bourbaki, Lie Groups and Lie Algebras, Springer, Berlin, 1989. Zbl0672.22001
  2. [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. [3] P. Enflo, Uniform structures and square roots in topological groups, I, Israel J. Math. 8 (1970), 230-252. Zbl0214.28402
  4. [4] E. D. Gaughan, Topological group structures of infinite symmetric groups, Proc. Nat. Acad. Sci. U.S.A. 58 (1967), 907-910. Zbl0153.04301
  5. [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. Zbl0853.22001
  6. [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. [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. Zbl0527.58002
  8. [8] S. A. Morris, Lie groups in varieties of topological groups, Colloq. Math. 30 (1974), 229-235. Zbl0301.22004
  9. [9] S. A. Morris, Varieties of topological groups. A survey, ibid. 46 (1982), 147-165. Zbl0501.22002
  10. [10] S. A. Morris and H. B. Thompson, Free topological groups with no small subgroups, Proc. Amer. Math. Soc. 46 (1974), 431-437. Zbl0294.22001
  11. [11] D. A. Raĭkov, On the completion of topological groups, Izv. Akad. Nauk SSSR Ser. Mat. 9 (1945), 513-518 (in Russian). Zbl0061.04206
  12. [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. Zbl0663.22002

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