论文标题
$ L（\ Mathbb {r}）$中类似归纳的点级的不可思议
Unreachability of Inductive-Like Pointclasses in $L(\mathbb{R})$
论文作者
论文摘要
Hjorth从$ ZF + AD + DC $证明，没有$σ^1_2 $长度$δ^1_2 $的序列。 Sargsyan扩展了Hjorth的技术，以表明没有独特的$σ^1_ {2n} $长度$δ^1_ {2n} $的序列。萨尔格西（Sargsyan）猜想了$ l（r）$中的任何常规Suslin PointClass都是正确的 - 即，如果$κ$是$ L（r）$中的常规Suslin Cardinal，则没有$κ$ -Suslin的$κ$ -SUSLIN的序列，$κsuslin seet of Length $κ^+$ in $ l（r）$。如果PointClass $ s（κ）$类似于电感，我们证明了这一点。
Hjorth proved from $ZF + AD + DC$ that there is no sequence of distinct $Σ^1_2$ sets of length $δ^1_2$. Sargsyan extended Hjorth's technique to show there is no sequence of distinct $Σ^1_{2n}$ sets of length $δ^1_{2n}$. Sargsyan conjectured an analogous property is true for any regular Suslin pointclass in $L(R)$ -- i.e. if $κ$ is a regular Suslin cardinal in $L(R)$, then there is no sequence of distinct $κ$-Suslin sets of length $κ^+$ in $L(R)$. We prove this in the case that the pointclass $S(κ)$ is inductive-like.
