hereditarily normal space 中文意思是什麼

hereditarily normal space 解釋
遺傳正規空間
  • hereditarily : adv. 世襲地;遺傳地。
  • normal : adj 1 正常的,平常的,普通的;平均的。2 正規的,標準的,額定的,規定的。3 智力正常的,精神健全的...
  • space : n 1 空間;太空。2 空隙,空地;場地;(火車輪船飛機中的)座位;餘地;篇幅。3 空白;間隔;距離。4 ...
  1. 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。
  2. And about a given property p which satisfies some conditions, we give a condition for the open sets in the tychnoff product of two spaces which have a open refinement having the property p. the last chapter obtains a result about the limit of the inverse system of a normal mesocompact space and a hereditar ily normal and hereditarily mesocompact space

    而且給出了,對滿足一定條件的某種性質p ,兩個空間的乘積中的每個開集族有p性質的開加細的一個充分條件。第四章詳細證明了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一個結果。
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