Dimension-theoretical structure of locally compact groups

Keiô NAGAMI

doi:10.2969/jmsj/01440379

Keiô NAGAMI

著者情報

ジャーナルフリー

1962 年 14 巻 4 号 p. 379-396

DOI https://doi.org/10.2969/jmsj/01440379

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Published: 1962 Received: 1962/04/06 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
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訂正日: 2006/09/26 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Keio NAGAMI¹⁾
Right : Keiô NAGAMI¹⁾

訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) P. Alexandroff-H. Hopf, Topologie I, Berlin, 1935.
2) J. Dieudonné, Une généralisation des espaces compacts, J. Math. Pures Appl., 23 (1944), 65-76.
3) C. H. Dowker, Local dimension of normal spaces, Quart. J. Math., Oxford (2), 6 (1955), 101-120.
4) A. M. Gleason, The structure of locally compact groups, Duke Math. J., 18 (1951), 85-105.
5) V. M. Glushkov, Structure of locally compact groups and Hilbert's fifth problem, Uspehi Mat. Nauk, 12 (1957), 3-41.
6) W. Hurewicz-H. Wallman, Dimension theory, Princeton, 1941.
7) D. Montgomery, Theorems on the topological structure of locally compact groups, Ann. Math., 50 (1949), 570-580.
8) D. Montgomery-L. Zippin, Topological transformation group, Ann. Math., 41 (1940), 778-791.
9) D. Montgomery-L. Zippin, Small subgroups of finite dimensional groups, Ann. Math., 56 (1952), 213-241.
10) D. Montgomery-L. Zippin, Topological transformation groups, New York, 1955.
11) K. Morita, Star-finite coverings and the star-finite property, Math. Japon., 1 (1948), 60-68.
12) K. Morita, On the dimension of product spaces, Amer. J. Math., 75 (1953), 205- 223.
13) K. Morita, On spaces having the weak topology with respect to closed coverings II, Proc. Japan Acad., 30 (1954), 711-717.
14) K. Nagami, On the dimension of paracompact Hausdorff spaces, Nagoya Math. J., 8 (1955), 69-70.
15) B. Pasynkov, On the coincidence of different definitions of the dimension for the locally compact groups, Doklady Acad. Nauk, 132 (1960), 1035-1037.
16) L. Pontrjagin, Continuous groups, Moscow, 1954.
17) H. Yamabe, A generalisation of a theorem of Gleason, Ann. Math., 58 (1953), 351-365.
18) T. Yamanoshita, On the dimension of homogeneous spaces, J. Math. Soc. Japan, 6 (1954), 151-159.

Right : [1] P. Alexandroff-H. Hopf, Topologie I, Berlin, 1935.
[2] J. Dieudonné, Une généralisation des espaces compacts, J. Math. Pures Appl., 23 (1944), 65-76.
[3] C. H. Dowker, Local dimension of normal spaces, Quart. J. Math., Oxford (2), 6 (1955), 101-120.
[4] A. M. Gleason, The structure of locally compact groups, Duke Math. J., 18 (1951), 85-105.
[5] V. M. Glushkov, Structure of locally compact groups and Hilbert's fifth problem, Uspehi Mat. Nauk, 12 (1957), 3-41.
[6] W. Hurewicz-H. Wallman, Dimension theory, Princeton, 1941.
[7] D. Montgomery, Theorems on the topological structure of locally compact groups, Ann. Math., 50 (1949), 570-580.
[8] D. Montgomery-L. Zippin, Topological transformation group, Ann. Math., 41 (1940), 778-791.
[9] D. Montgomery-L. Zippin, Small subgroups of finite dimensional groups, Ann. Math., 56 (1952), 213-241.
[10] D. Montgomery-L. Zippin, Topological transformation groups, New York, 1955.
[11] K. Morita, Star-finite coverings and the star-finite property, Math. Japon., 1 (1948), 60-68.
[12] K. Morita, On the dimension of product spaces, Amer. J. Math., 75 (1953), 205-223.
[13] K. Morita, On spaces having the weak topology with respect to closed coverings II, Proc. Japan Acad., 30 (1954), 711-717.
[14] K. Nagami, On the dimension of paracompact Hausdorff spaces, Nagoya Math. J., 8 (1955), 69-70.
[15] B. Pasynkov, On the coincidence of different definitions of the dimension for the locally compact groups, Doklady Acad. Nauk, 132 (1960), 1035-1037.
[16) L. Pontrjagin, Continuous groups, Moscow, 1954.
[17] H. Yamabe, A generalisation of a theorem of Gleason, Ann. Math., 58 (1953), 351-365.
[18] T. Yamanoshita, On the dimension of homogeneous spaces, J. Math. Soc. Japan, 6 (1954), 151-159.

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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