Note on cohomological dimension for non-compact spaces II

Yukihiro KODAMA

doi:10.2969/jmsj/02030490

Yukihiro KODAMA

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ジャーナルフリー

1968 年 20 巻 3 号 p. 490-497

DOI https://doi.org/10.2969/jmsj/02030490

詳細

Published: 1968 Received: 1967/02/13 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
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) C. H. Dowker, Mapping theorems for non-compact space, Amer. J. Math., 69 (1947), 202-242.
2) T. Goto, Homotopical cohomology groups of paracompact spaces, to appear.
3) O. Hanner, Retraction and extension of mapping of metric and non-metric spaces, Ark. Mat., 2 (1952), 315-360.
4) S. T. Hu, Homotopy theory, Academic Press, New York, 1959.
5) W. Hurewicz and H. Wallman, Dimension theory, Princeton, 1941.
6) Y. Kodama, Test spaces for homological dimension, Duke Math. J., 29 (1962), 41-50.
7) Y. Kodama, Note on cohomological dimension for non-compact spaces, J. Math. Soc. Japan, 18 (1966), 343-359.
8) K. Morita, H. Hopf's extension theorem in normal spaces, Proc. Physico-Math. Soc. Japan, 3rd Ser., 23 (1941), 161-167.
9) K. Morita, Closed mappings and dimension, Proc. Japan Acad., 32 (1956), 161-165.
10) E. G. Skljarenko, On the definition of cohomological dimension, Soviet Math. Dokl., 6 (1965), 478-479.

Right : [1] C. H. Dowker, Mapping theorems for non-compact space, Amer. J. Math., 69 (1947), 202-242.
[2] T. Goto, Homotopical cohomology groups of paracompact spaces, to appear.
[3] O. Hanner, Retraction and extension of mapping of metric and non-metric spaces, Ark. Mat., 2 (1952), 315-360.
[4] S. T. Hu, Homotopy theory, Academic Press, New York, 1959.
[5] W. Hurewicz and H. Wallman, Dimension theory, Princeton, 1941.
[6] Y. Kodama, Test spaces for homological dimension, Duke Math. J., 29 (1962), 41-50.
[7] Y. Kodama, Note on cohomological dimension for non-compact spaces, J. Math. Soc. Japan, 18 (1966), 343-359.
[8] K. Morita, H. Hopf's extension theorem in normal spaces, Proc. Physico-Math. Soc. Japan, 3rd Ser., 23 (1941), 161-167.
[9] K. Morita, Closed mappings and dimension, Proc. Japan Acad., 32 (1956), 161-165.
[10] E. G. Skljarenko, On the definition of cohomological dimension, Soviet Math. Dokl., 6 (1965), 478-479.

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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