On the dimension of homogeneous spaces

Tsuneyo YAMANOSHITA

doi:10.2969/jmsj/00620151

Tsuneyo YAMANOSHITA

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ジャーナルフリー

1954 年 6 巻 2 号 p. 151-159

DOI https://doi.org/10.2969/jmsj/00620151

詳細

Published: 1954 Received: 1953/11/17 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. M. Glasson: Spaces with a compact Lie group of transformations, Proc. Amer. Math. Soc. Vol. 1 (1950), pp. 35-43.
2) D. Montgomery and L. Zippin: Topological transformation group, Ann. of Math. Vol. 41 (1940), 778-791.
3) D. Montgomery: Dimension of factor spaces, Ann. of Math. Vol. 49 (1948), pp. 393-378.
4) D. Montgomery and L. Zippin: Small subgroups of finite dimensional groups, Ann. of Math. Vol. 56 (1952), pp. 213-241.
5) D. Montgomery of locally compact groups, Amer. J. Math. Vol. 70 (1948), pp. 327-332.
6) D. Montgomery: Theorem on the topological structure of locally compact groups, Ann. of Math. Vol. 50 (1949), pp. 570-580.
7) K. Iwasawa: On some types of topological groups, Ann. of Math. Vol. 50 (1949) pp. 507-558.
8) S. Kaplan: A zero-dimensional topological group with a one dimensional factor group, Bull. Amer. Math. Soc. 54 (1948) pp. 964-968.
9) W. Hurewicz and H. wallman: Dimension Theory, Princeton Univ. Press, 1948.

Right : [1] A. M. Glasson: Spaces with a compact Lie group of transformations, Proc. Amer. Math. Soc. Vol. 1 (1950), pp. 35-43.
[2] D. Montgomery and L. Zippin: Topological transformation group, Ann. of Math. Vol. 41 (1940), 778-791.
[3] D. Montgomery: Dimension of factor spaces, Ann. of Math. Vol. 49 (1948), pp. 393-378.
[4] D. Montgomery and L. Zippin: Small subgroups of finite dimensional groups, Ann. of Math. Vol. 56 (1952), pp. 213-241.
[5] D. Montgomery of locally compact groups, Amer. J. Math. Vol. 70 (1948), pp. 327-332.
[6] D. Montgomery: Theorem on the topological structure of locally compact groups, Ann. of Math. Vol. 50 (1949), pp. 570-580.
[7] K. Iwasawa: On some types of topological groups, Ann. of Math. Vol. 50 (1949) pp. 507-558.
[8] S. Kaplan: A zero-dimensional topological group with a one dimensional factor group, Bull. Amer. Math. Soc. 54 (1948) pp. 964-968.
[9] W. Hurewicz and H. Wallman: Dimension Theory, Princeton Univ. Press, 1948.

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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