緊空間 的英文怎麼說
中文拼音 [jǐnkōngjiān]
緊空間
英文
sigma compact space-
It is proved that strong countable compact set is a strong fuzzy paracompact if and only if it is a strong fuzzy compact, strong fuzzy compact set and fuzzy unit interval are strong fuzzy paracompact, the product of a strong fuzzy compact set and a strong paracompact set is strong fuzzy paracompact, a strong t2strong fuzzy paracompact space is strong 5 - regular and strong s - normal, a strong 5 - regula
證明了每個強fuzzy緊集和fuzzy單位區間i廠）都是強fumy仿緊的；強fuzzy緊集和強fuzzy仿緊集的乘積是強fuzzy仿緊集；強tz的強fuzzy仿緊空間是強s 「一正則的；強tz的強fuz 。Let x is the limit of the inverse system. suppose each projection is an open and onto map. and x is - paracompact. if each x is normal mesocompact, then x is mesocompact. moreover, we obtain the analogous result for hereditarily normal and hereditarily mesocompact properties
| = ，假設每個投射_ ： x x _是開的且到上的。 x是-仿緊的，如果每個x _為正規中緊的，則x是正規中緊的，進一步得到關于遺傳正規且遺傳中緊空間的結論。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。Boundary compact space
有界緊空間Regularity of fuzzy - valued fuzzy measure on locally compact space
局部緊空間上模糊值模糊測度的正則性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。Countable product of 1 - like spaces is a d - space
次仿緊空間的次仿緊逆象Mapping theorems on submeocompact spaces
緊空間的映射定理On some characterizations of perfect paracompact spaces
關于完全仿緊空間的一些刻畫Some properties of locally and strongly paracompact spaces
局部強仿緊空間的一些性質A characterization of base - paracompact spaces
仿緊空間的一種刻劃Some properties of countable mesocompact spaces
緊空間的一些性質Nearly submetacompact spaces and nearly strongly submetacompact spaces
幾乎次亞緊和幾乎強次亞緊空間On inverses images of paracompact spaces
關于仿緊空間的原象On nearly strongly paracompact space
關于近似強仿緊空間Countably paracompact space
可數仿緊空間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。Countably compact space
可數緊空間Connected locally compact space
連通局部緊空間分享友人