Tightness of compact Hausdorff spaces and normality of product spaces

Tsugunori NOGURA

doi:10.2969/jmsj/02820360

Tsugunori NOGURA

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 2 Pages 360-362

DOI https://doi.org/10.2969/jmsj/02820360

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Published: 1976 Received: May 10, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. V. Arhangel'skii, On the cardinality of bicompacta satisfying the first axiom of countability, Dokl. Acad. Nauk SSSR, 187 (1964), 967-970 (Russian). English Transl.: Soviet Math. Dokl., 12 (1969), 951-955.
2) A. V. Arhangel'skii, On bicompacta hereditarily satisfying Suslin condition. Tightness and free sequence, Dokl. Acad. Nauk SSSR, 199 (1971), 1227-1230 (Russian). English Transl.: Soviet Math. Dokl., 12 (1971), 1253-1256.
3) I. Glicksberg, Stone-Cech compactifications of products, Trans. Amer. Math. Soc., 90 (1959), 369-382.
4) J. Keesling, Normality and properties related to compactness in hyperspaces, Proc. Amer. Math. Soc., 24 (1970), 760-766.
5) A. P. Kombarov, On the product of normal spaces. Uniformities on ∑-products, Dokl. Akad. Nauk SSSR, 205 (1972), 1033-1035 (Russian). English Transl.: Soviet Math. Dokl., 13 (1972), 1068-1071.

Right : [1] A. V. Arhangel'skii, On the cardinality of bicompacta satisfying the first axiom of countability, Dokl. Acad. Nauk SSSR, 187 (1964), 967-970 (Russian). English Transl.: Soviet Math. Dokl., 12 (1969), 951-955.
[2] A. V. Arhangel'skii, On bicompacta hereditarily satisfying Suslin condition. Tightness and free sequence, Dokl. Acad. Nauk SSSR, 199 (1971), 1227-1230 (Russian). English Transl.: Soviet Math. Dokl., 12 (1971), 1253-1256.
[3] I. Glicksberg, Stone-Cech compactifications of products, Trans. Amer. Math. Soc., 90 (1959), 369-382.
[4] J. Keesling, Normality and properties related to compactness in hyperspaces, Proc. Amer. Math. Soc., 24 (1970), 760-766.
[5] A. P. Kombarov, On the product of normal spaces. Uniformities on Σ-products, Dokl. Akad. Nauk SSSR, 205 (1972), 1033-1035 (Russian). English Transl.: Soviet Math. Dokl., 13 (1972), 1068-1071.

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