On Lie groups in varieties of topological groups
Morris, Sidney ; Pestov, Vladimir
Colloquium Mathematicae, Tome 78 (1998), p. 39-47 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:210604 
@article{bwmeta1.element.bwnjournal-article-cmv78z1p39bwm,
     author = {Sidney Morris and Vladimir Pestov},
     title = {On Lie groups in varieties of topological groups},
     journal = {Colloquium Mathematicae},
     volume = {78},
     year = {1998},
     pages = {39-47},
     zbl = {0917.22003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv78z1p39bwm}
}

Morris, Sidney; Pestov, Vladimir. On Lie groups in varieties of topological groups. Colloquium Mathematicae, Tome 78 (1998) pp. 39-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv78z1p39bwm/

[000] [1] N. Bourbaki, Lie Groups and Lie Algebras, Springer, Berlin, 1989. | Zbl 0672.22001

[001] [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.

[002] [3] P. Enflo, Uniform structures and square roots in topological groups, I, Israel J. Math. 8 (1970), 230-252. | Zbl 0214.28402

[003] [4] E. D. Gaughan, Topological group structures of infinite symmetric groups, Proc. Nat. Acad. Sci. U.S.A. 58 (1967), 907-910. | Zbl 0153.04301

[004] [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. | Zbl 0853.22001

[005] [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).

[006] [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. | Zbl 0527.58002

[007] [8] S. A. Morris, Lie groups in varieties of topological groups, Colloq. Math. 30 (1974), 229-235. | Zbl 0301.22004

[008] [9] S. A. Morris, Varieties of topological groups. A survey, ibid. 46 (1982), 147-165. | Zbl 0501.22002

[009] [10] S. A. Morris and H. B. Thompson, Free topological groups with no small subgroups, Proc. Amer. Math. Soc. 46 (1974), 431-437. | Zbl 0294.22001

[010] [11] D. A. Raĭkov, On the completion of topological groups, Izv. Akad. Nauk SSSR Ser. Mat. 9 (1945), 513-518 (in Russian). | Zbl 0061.04206

[011] [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. | Zbl 0663.22002