metacompact space 中文意思是什麼
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Are there similar characterizations for the countable paracompact ( mesocompact, metacompact ) space and hereditarily mesocompact space ? in this paper, on the basis of the aboves, we obtain some results about them. and the product properties of mesocompact spaces and hereditarily mesocompact spaces have been paid attention. but there is no good result about them. in this paper we obtain a result about the limit of the inverse system of a normal mesocompact space and a hereditarily normal and hereditarily mesocompact space
那末，可數仿緊（中緊、亞緊）空間及遺傳中緊空間是否具有類似junnila的刻畫呢?本文圍繞這個問題在上述結果的基礎上證明了一些結果。另外，中緊空間和遺傳中緊空間的可乘性問題一直受到人們的關注，但還沒有好的結果，本文證明了一個關于正規中緊空間及遺傳正規且遺傳中緊空間的逆極限的結果。 -
In 1986, in the paper [ 1 ] junnila proved the result : a space is hereditarily metacompact iff its every scattered partion has a point finite open expansion. and in the paper [ 2 ], by the example 3. 2 zhu peiyong proved that the hereditarily paracompact spaces have no a similar characterization to junnila ' s
Junnila在文[ 1 ]中證明了：一個空間是遺傳亞緊的當且僅當它的每個散射分解有一個點有限的開膨脹。而朱培勇在文[ 2 ]中用例3 . 2從反面證明了：遺傳仿緊空間不與空間的每個散射分解有局部有限的開膨脹等價。 -
The paper has four parts. the first chapter, introduction, gives the origin of the problems and our main results. the second chapter proves that countable paracompact ( mesocompact, metacompact ) spaces have the characterization of junnila ' s and that hereditarily mesocompact spaces do n ' t have it. at last, we give the sufficient conditions for a space having the property that its every scattered partition has a compact - finite open expansion
第二章詳細證明了可數仿緊（中緊、亞緊）空間有類似junnila的刻畫，遺傳中緊空間不具有類似junnila的刻畫，最後給出了正則空間的每個散射分解有緊有限的開膨脹的充要條。
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