@article{BSMF_1952__80__1_0,
author = {Serre, Jean-Pierre},
title = {Le cinqui\`eme probl\`eme de {Hilbert.} {\'Etat} de la question en 1951},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {1--10},
year = {1952},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {80},
doi = {10.24033/bsmf.1422},
zbl = {0046.25302},
mrnumber = {49205},
language = {fr},
url = {https://www.numdam.org/articles/10.24033/bsmf.1422/}
}
TY - JOUR AU - Serre, Jean-Pierre TI - Le cinquième problème de Hilbert. État de la question en 1951 JO - Bulletin de la Société Mathématique de France PY - 1952 SP - 1 EP - 10 VL - 80 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.1422/ DO - 10.24033/bsmf.1422 LA - fr ID - BSMF_1952__80__1_0 ER -
%0 Journal Article %A Serre, Jean-Pierre %T Le cinquième problème de Hilbert. État de la question en 1951 %J Bulletin de la Société Mathématique de France %D 1952 %P 1-10 %V 80 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.1422/ %R 10.24033/bsmf.1422 %G fr %F BSMF_1952__80__1_0
Serre, Jean-Pierre. Le cinquième problème de Hilbert. État de la question en 1951. Bulletin de la Société Mathématique de France, Tome 80 (1952), pp. 1-10. doi: 10.24033/bsmf.1422
[1] , Die Theorie der endlichen kontinuerlichen Gruppen, unabhangig von den Axiomen von Lie (Math. Ann., t. 67, 1909, p. 246-267). | JFM
[2] , Ibid., t. 69, 1910, p. 181-203. | JFM
[3] , Two theorems on solvable topological groups (Lectures in Topology, Michigan, 1941). | Zbl | MR
[4] , Theory of Lie groups, Princeton, 1946. | Zbl
[5] , Square roots in locally euclidean groups (Bull. Amer. Math. Soc., t. 55, 1949, p. 446-449). | Zbl | MR
[6] , Spaces with a compact Lie group of transformations (Proc. Amer. Math. Soc., t. 1, 1950, p. 35-43). | Zbl | MR
[7] , The structure of locally compact groups (Duke Math. Journ., t. 18, 1951, p. 85-110). | Zbl | MR
[8] , Arcs in locally compact groups (Proc. Nat. Acad. Sc. U.S.A., t. 36, 1950, p. 663-667). | Zbl | MR
[9] , Mathematische Probleme (Gott. Nachr., 1900, p. 253-297). | JFM
[10] and , Dimension Theory, Princeton, 1941. | Zbl | MR | JFM
[11] , On some types of topological groups (Ann. Math., t. 50, 1949, p. 507-558). | Zbl | MR
[12] , Geometrische Theorie der Zweigliedrigen kontinuerlichen Gruppen Hamb. Abh., t. 8, 1931, p. 107-114). | JFM
[13] , On euclidean local groups satisfying certain conditions (Proc. Amer. Math. Soc., t. 1, 1950, p. 372-380). | Zbl | MR
[14] , On conditions of differentiability of locally compact groups (Nagoya Math. Journ., t. 1, 1950, p. 71-81). | Zbl | MR
[15] , A theorem on locally euclidean groups (Ann. Math., 48, 1947, p. 650-659). | Zbl | MR
[16] , Connected one dimensional groups (Ann. Math., t. 49, 1948, p. 110-117). | Zbl | MR
[17] , Analytic parameters in three dimensional groups (Ann. Math., t. 49, 1948, p. 118-131). | Zbl | MR
[18] , Dimension of factor spaces (Ann. Math., t. 49, 1948, p. 373-378). | Zbl | MR
[19] , Connected two dimensional groups (Ann. Math., t. 51, 1950, p. 262-277). | Zbl | MR
[20] , Locally homogeneous spaces (Ann. Math., t. 52, 1950, p. 261-271). | Zbl | MR
[21] , Finite dimensional groups (Ann. Math., t. 52, 1950, p. 591-605). | Zbl | MR
[22] , and , Existence of subgroups isomorphic to the real numbers (Ann. Math., t. 53, 1951, p. 298-326). | Zbl | MR
[23] , and , Bull. Amer. Math. Soc., t. 57, p. 75, Abstract 53 t.
[24] , and , Ibid., p. 145, Abstract 176 t.
[25] , Die Einführung analytischer Parameter in topologische Gruppen (Ann. Math., t. 34, 1933, p. 170-190). | Zbl | JFM
[26] , The theory of topological commutative groups (Ann. Math., t. 35, 1934, p. 361-388). | Zbl | JFM
[27] , Topological groups, Princeton, 1939. | JFM
[28] , Abstrakte kontinuerliche Gruppen (Hamb. Abh., t. 4, 1926, p. 15-32). | JFM
[29] , Transformations of finite period. III. Newman's theorem (Ann. Math., t. 42, 1941, p. 446-458). | Zbl | MR | JFM
[30] , Periodic and nearly periodic transformations (Lectures in Topolody, Michigan, 1941). | Zbl | MR
[31] , L'intégration dans les groupes topologiques et ses applications, Paris, 1940. | Zbl | MR | JFM
[32] , Topology of Manifolds, Colloquium, 1949. | Zbl | MR
[33] , Note on locally compact groups (Osaka Math. Journ., t. 3, 1951, p. 77-82). | Zbl | MR
Cité par Sources :







