On some properties of covering groups of a topological group

Yukiyosi KAWADA

doi:10.2969/jmsj/00140203

Yukiyosi KAWADA

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1950 Volume 1 Issue 4 Pages 203-211

DOI https://doi.org/10.2969/jmsj/00140203

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Published: 1950 Received: September 20, 1948 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Mathematical Institute

Right :
1) Mathematical Institute, Tokyo Bunrika Daigaku

Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) For the proof of Lemma 1, c.f. O. Schreier, [1] Abstrakte kontinuierliche Gruupe, Hamb. Abh., 4 (1925), 15-32, [2] Die Verwandtschaft stetiger Gruppen im Grossen, Hamb. Abh. 5 (1926) 233-244.
2) ≅ means topological isomorphism.
3) For the proof of Lemma 2, c.f. L.G. Chap. II, § X, Prop. 4, Cor. 2.
4) For the proof of Lemma 3 c.f. Y. Kawada, Ueber die Ueberlagerungsgruppe und die stetige projektive Darstellung topologischer Gruppen, Jap. Jour. Math., 17 (1940), 139-164, § 1, 3 Hilfssatz.
5) C. f. S.'Lefschetz. Algebraic topology, (1942), p. 54.
6) C. f. O. Schreier, [1] and [2].

Right : 1) For the proof of Lemma 1, c. f. O. Schreier, [1] Abstrakte kontinuierliche Gruupe, Hamb. Abh., 4 (1925), 15-32, [2] Die Verwandtschaft stetiger Gruppen im Grossen, Hamb. Abh. 5 (1926) 233-244.
2) ≅ means topological isomorphism.
3) For the proof of Lemma 2, c. f. L. G. Chap. II, § X, Prop. 4, Cor. 2.
4) For the proof of Lemma 3 c. f. Y. Kawada, Ueber die Ueberlagerungsgruppe und die stetige projektive Darstellung topologischer Gruppen, Jap. Jour. Math., 17 (1940), 139-164, § 1, 3 Hilfssatz.
5) C. f. S.Lefschetz. Algebraic topology, (1942), p. 54.
6) C. f. O. Schreier, [1] and [2].

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