On the local cross-sections in locally compact groups

Takashi KARUBE

doi:10.2969/jmsj/01040343

Takashi KARUBE

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1958 Volume 10 Issue 4 Pages 343-347

DOI https://doi.org/10.2969/jmsj/01040343

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Published: 1958 Received: November 17, 1957 Available on J-STAGE: August 29, 2006 Accepted: June 11, 1958 Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A.M. Gleason, Spaces with a compact Lie group of transformations, Proc. Amer. Math. Soc., 1 (1950), 35-43.
2) W. Hurewicz, Sur la dimension des produits cartesiens, Ann. of Math., 36 (1935), 194-197.
3) W. Hurewicz and H. Wallman, Dimension theory, Princeton Univ. Press, 1941.
4) P.S. Mostert, Local cross-sections in locally compact groups, Proc. Amer. Math. Soc., 4 (1953), 645-649.
5) D. Montgomery and L. Zippin, Topological transformation groups, 1955.
6) L. Pontrjagin, Topological groups, Princeton Univ. Press, 1939.
7) N.E. Steenrod, The topology of fibre bundles, Princeton Univ. Press, 1951.
8) T. Yamanoshita, On the dimension of homogeneous spaces, J. Math. Soc. Japan, 6 (1954), 151-159.

Right : 1) A. M. Gleason, Spaces with a compact Lie group of transformations, Proc. Amer. Math. Soc., 1 (1950), 35-43.
2) W. Hurewicz, Sur la dimension des produits cartésiens, Ann. of Math., 36 (1935), 194-197.
3) W. Hurewicz and H. Wallman, Dimension theory, Princeton Univ. Press, 1941.
4) P. S. Mostert, Local cross-sections in locally compact groups, Proc. Amer. Math. Soc., 4 (1953), 645-649.
5) D. Montgomery and L. Zippin, Topological transformation groups, 1955.
6) L. Pontrjagin, Topological groups, Princeton Univ. Press, 1939.
7) N. E. Steenrod, The topology of fibre bundles, Princeton Univ. Press, 1951.
8) T. Yamanoshita, On the dimension of homogeneous spaces, J. Math. Soc. Japan, 6 (1954), 151-159.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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