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| 1. | X is quasi-compact (that is, every open covering of X has a finite sub-covering) . |
| X是拟紧的（即对于X的每个开覆盖都有一个有限子覆盖）。 |
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| 2. | finite covering |
| 有限覆盖 |
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| 3. | star finite covering |
| 星形有限覆盖 |
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| 4. | Every open covering of X has a finite sub-covering. |
| 每个开覆盖都有一个有限子覆盖。 |
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| 5. | locally finite open covering |
| 局部有限开覆盖 |
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