Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic Saturation   Assuming that ORD is $\omega +\omega $-Erd\"os we show that if a class
forcing amenable to $L$ (an $L$-forcing) has a generic then it has one
definable in a set-generic extension of $L[O^\#]$. In fact we may choose such a
generic to be {\it periodic} in the sense that it preserve the indiscernibility
of a final segment of a periodic subclass of the Silver indiscernibles, and
therefore to be {\it almost codable} in the sense that it is definable from a
real which is generic for an $L$-forcing (and which belongs to a set-generic
extension of $L[O^\#]$).

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th