Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shooting a club with finite conditions   We study cohabitation of the poset $P_S$ shooting a club through a given
stationary subset $S$ of $\omega _1$ with finite conditions with other
forcings. Sample results:
  (1) $P_S$ "sometimes" preserves presaturatedness of $NS_{\omega _1}$
  (2) $P_S=P_T$ if $S=T mod NS_{\omega _1}$ (in Boolean algebra sense)
  (3) Cons ( one can embed $Q,$ the poset adding $\aleph _1$ Cohen reals, to
$P_S$ such that reals in $V^Q$ are the same as reals in $V^{P_S}.$ )

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas