例句與用法

1. the concept of countably subparacompact maps, countably metacompact maps and countably submetacompact maps are introduced, which are the extension of the respective covering property from the category top to the category top
   摘要主要定義了可數(shù)次仿緊映射，可數(shù)亞緊映射以及可數(shù)次亞緊映射，進(jìn)一步將一般拓?fù)淇臻g的覆蓋性質(zhì)拓展到連續(xù)函數(shù)上。
2. 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(shù)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(huà)呢?本文圍繞這個(gè)問(wèn)題在上述結(jié)果的基礎(chǔ)上證明了一些結(jié)果。另外，中緊空間和遺傳中緊空間的可乘性問(wèn)題一直受到人們的關(guān)注，但還沒(méi)有好的結(jié)果，本文證明了一個(gè)關(guān)于正規(guī)中緊空間及遺傳正規(guī)且遺傳中緊空間的逆極限的結(jié)果。
3. 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(gè)空間是遺傳亞緊的當(dāng)且僅當(dāng)它的每個(gè)散射分解有一個(gè)點(diǎn)有限的開(kāi)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(gè)散射分解有局部有限的開(kāi)膨脹等價(jià)。
4. 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(xì)證明了可數(shù)仿緊(中緊、亞緊)空間有類似junnila的刻畫(huà)，遺傳中緊空間不具有類似junnila的刻畫(huà)，最后給出了正則空間的每個(gè)散射分解有緊有限的開(kāi)膨脹的充要條。