| 关于强J-空间与JHB-空间 |
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| 引用本文： | 彭良雪.关于强J-空间与JHB-空间[J].数学杂志,2005,25(6):611-617. |
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| 作者姓名： | 彭良雪 |
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| 作者单位： | 北京工业大学应用数理学院,北京,100022 |
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| 摘 要： | 引入了两个很有联系的空间类JHB-空间与强J HB-空间，分别推广了J-空间与强J-空间.讨论了J-空间、强J-空间、J HB-空间及强JHB-空间类间的相包含关系及此四空间类逆包含的条件，还得到了JHB-空间的内部刻画，并证明了若对每个α∈S，Xα.都是非紧的连通空间，则积空间∏α∈S Xα是强J-空间。
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| 关 键 词： | J-空间 强J-空间 JHB-空间 强JHB-空间 |
| 文章编号： | 0255-7797（2005）06-0611-07 |
| 收稿时间： | 2003-06-23 |
| 修稿时间： | 2003-06-232003-12-15 |
A NOTE ON STRONG J-SPACES AND JHB-SPACES |
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| PENG Liang-xue.A NOTE ON STRONG J-SPACES AND JHB-SPACES[J].Journal of Mathematics,2005,25(6):611-617. |
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| Authors: | PENG Liang-xue |
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| Institution: | College of Applied Science, Beijing University of Technology , Beijing 100022,China |
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| Abstract: | In this note, we introduce the classes of JHB-spaces and strong JHB-spaces,two related classes of space, which generalize the classes of J-spaces and strong J-spaces,respectively. The relationship among the four classes of spaces are discussed, and the conditions of some inverse implications among the four classes of spaces are also discussed. We give the interior characterizations of JHB-spaces, and also prove that ∏α∈sXα is a strong J-space, if Xα is a connected and non-compact space for every α∈ S. |
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| Keywords: | J-space strong J-space J HB-space strong J HB-space |
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