closure theorem 中文意思是什麼
closure theorem
解釋
閉合定理-
Theorem 4 space x is a cosmic space if and only if x is a - compact space with a - weakly hereditarily closure - preserving pair - networks
， x 。具有。遺傳閉包保持雙網路當且僅當或者每x 『 ，是cosmic空間且除可數個a外， x 。 -
Based on the theory of molecular set nests and prime elements set nested in [ 67, 68 ], with the cuted set f and jm, we have obtain the equivalent theorem, the decomposition theorems, the representation theorems about l - smooth co - topology, the equivalent conditions of constructing a - smooth co - topology by a family co - topologies and the equivalent theorem of closure operator. we have proved that - smooth closure operator is reasonable, discussed the relations between - smooth closure operator and closure operator, - smooth continuous goh and continuous goh, and given a kind of product of - smooth topological molecular lattices
藉助文[ 67 ， 68 ]中提出的分子集合套和素元集合套理論，結合文[ 83 ]並以截集蘆f _ [ a ]和f ~ [ a ]為工具刻畫l上smooth余拓撲f ，從而給出了l - smooth余拓撲的刻畫定理、分解定理、表現定理和由余拓撲族構造l - smooth余拓撲的充要條件 -
We extend this result which is similar to ones of hirsch [ 1l ] and jiang [ 2 ] for 3 - dimensional cooperative system. furthermore, in the paper we discusse the cone of km, and obtain the similar result : theorem b : let f be a continuously differentiable cooperative vector field on d, suppose the following conditions hold : ( a ) d is pm - convex ; ( b ) every forward semi - orbit has compact closure in d ; ( c ) there is not more than one equilibrium p, then there is a unique equilibrium p and it is globally asymptotically stable
此外，本文還將在k _ m錐下討論此問題，並得到平行的結果：定理b ：設f是d上一個連續可微的合作向量場，假設如下條件成立： （ a ） d是p _ m凸的； （ b ） d中的每一個正半軌道有緊閉包； （ c ）至多有一個平衡點p ，則一定存在唯一的平衡點p ，並且是全局漸近穩定的。
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