The subsequentiality of product spaces

Tsugunori NOGURA

doi:10.2969/jmsj/03120391

Tsugunori NOGURA

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ジャーナルフリー

1979 年 31 巻 2 号 p. 391-398

DOI https://doi.org/10.2969/jmsj/03120391

詳細

Published: 1979 Received: 1977/12/10 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. V. Arhangel'skii, On the cardinality of bicompacta satisfying the first axiom of countability, Dokl. Akad. Nauk SSSR, 187 (1964), 967-970 (Russian). English Transl.: Soviet Math. Dokl., 12 (1969), 951-955.
2) J. Fine and L. Gillman, Extension of continuous functions in N^*, Bull. Amer. Math. Soc., 66 (1960), 376-381.
3) S. P. Franklin, Spaces in which sequences suffice, Fund. Math., 57 (1965),107-115.
4) N. Lašnev, Continuous decompositions and closed mappings of metric spaces, Dokl. Akad. Nauk SSSR, 165 (1965), 756-758 (Russian). English Transl.: Soviet Math. Dokl., 6 (1965), 1504-1506.
5) N. Lašnev, Closed image of metric spaces, Dokl. Akad. Nauk SSSR, 170 (1966), 505-507 (Russian). English Transl.: Soviet Math. Dokl., 7 (1966), 1219-1221.
6) V. I. Malyhin, On countable space having no bicompactifications of countable tightness, Dokl. Akad. Nauk SSSR, 206 (1972), 1293-1296 (Russian). English Transl.: Soviet Math. Dokl., 13 (1972), 1407-1411.
7) K. Morita and S. Hanai, Closed mappings and metric spaces, Proc. Japan Acad., 32 (1956), 10-14.
8) N. Noble, Products with closed projection II, Trans. Amer. Math. Soc., 160 (1971), 169-183.
9) W. Rudin, Homogeneity problem in the theory of Cech compactifications, Duke Math. J., 23 (1956), 409-419.

Right : [1] A. V. Arhangel'skii, On the cardinality of bicompacta satisfying the first axiom of countability, Dokl. Akad. Nauk SSSR, 187 (1964), 967-970 (Russian). English Transl.: Soviet Math. Dokl., 12 (1969), 951-955.
[2] J. Fine and L. Gillman, Extension of continuous functions in N, Bull. Amer. Math. Soc., 66 (1960), 376-381.
[3] S. P. Franklin, Spaces in which sequences suffice, Fund. Math., 57 (1965),107-115.
[4] N. Lašnev, Continuous decompositions and closed mappings of metric spaces, Dokl. Akad. Nauk SSSR, 165 (1965), 756-758 (Russian). English Transl.: Soviet Math. Dokl., 6 (1965), 1504-1506.
[5] N. Lašnev, Closed image of metric spaces, Dokl. Akad. Nauk SSSR, 170 (1966), 505-507 (Russian). English Transl.: Soviet Math. Dokl., 7 (1966), 1219-1221.
[6] V. I. Malyhin, On countable space having no bicompactifications of countable tightness, Dokl. Akad. Nauk SSSR, 206 (1972), 1293-1296 (Russian). English Transl.: Soviet Math. Dokl., 13 (1972), 1407-1411.
[7] K. Morita and S. Hanai, Closed mappings and metric spaces, Proc. Japan Acad., 32 (1956), 10-14.
[8] N. Noble, Products with closed projection II, Trans. Amer. Math. Soc., 160 (1971), 169-183.
[9] W. Rudin, Homogeneity problem in the theory of Cech compactifications, Duke Math. J., 23 (1956), 409-419.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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