locally connected set 中文意思是什麼
locally connected set
解釋
局部連通集-
If fc has no parabolic periodic points and is not renormalizable, then j ( fc ] is locally connected. here fc is renormalizable if there are simply connected domains u and u " and a positive integer n such that contains the critical point c or - c1 and is a quadratic - like mapping with connected julia set
這里, it稱為可重整化的定義為:存在單連通區域l 』 、 u 』及正整數n ;使得i 』 u ,仁』包含臨界點c或一c , 」 : r一u是一個二層分支覆蓋,且擬共形共軛於一個有連通julia集的二次多項式。 -
Yoccoz introduced a powerful puzzle technique and obtained the result that if the quadratic polynomial pc ( z ) with, which has no indifferent cycle, is not infinitely renormalizable, then the julia set j ( pc ) of pc is locally connected while dm is also locally connected at c
利用這個技巧,他得到了對c m ,如果二次多項式pc ( z )不是無窮可重整化的,並且沒有拋物周期點,那麼julia集j ( pc )是局部連通的,並且m在c也是局部連通的。
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