Completely invariant sets of normality for rational semigroups
Completely invariant sets of normality for rational semigroups
复制标题
有理半群的完全不变正态集
DOI：
10.1080/17476930008815219
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Rich Stankewitz
中科院分区：
文献类型：
--
作者：
Rich Stankewitz
设G是至少二次有理函数半群，其中半群运算是函数的复合。证明了半群G在其上正规且在G的每个元素下完全不变的黎曼球面的最大开子集只能有0，1，2或无穷多个分支。
Let G be a semigroup of rational functions of degree at least two where the semigroup operation is composition of functions. We prove that the largest open subset of the Riemann sphere on which the semigroup G is normal and is completely invariant under each element of G, can have only 0,1,2, or infinitely many components.