Note on cohomological dimension for non-compact spaces II

Yukihiro KODAMA

doi:10.2969/jmsj/02030490

Yukihiro KODAMA

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JOURNAL FREE ACCESS

1968 Volume 20 Issue 3 Pages 490-497

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

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Published: 1968 Received: February 13, 1967 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: 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.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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