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| SOME RESULTS ABOUT COVERING PROPERTIES OF PRODUCTS |
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Citation： |
Jiang Jiguang,Teng Hui.SOME RESULTS ABOUT COVERING PROPERTIES OF PRODUCTS[J].Chinese Annals of Mathematics B,1994,15(1):53~58 |
| Page view： 986
Net amount： 843 |
Authors： |
Jiang Jiguang; Teng Hui |
Foundation： |
Project supported by the National Natural Science Foundation of China |
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| Abstract： |
The following results are proved:
1. Let $X$ be a screenable $P$-space and $Y$ a metric space.
Then $X\times Y$ is screenable.
2. Let $X$ be a strongly submetacompact $P$-space and $Y$ a
metacompact $\Si$-space. Then $X\times Y$ is strongly
submetacompact.
3. Suppose that $X=\Pi\limits_{n<\om}X_n$ is countably paracompact and
for each $n<\om$, $\Pi\limits_{i |
Keywords： |
Product space, Covering properties,Screenable P-space, Metric space |
Classification： |
54E18, 54E35 |
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