Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inclusion modulo nonstationary   A classical theorem of Hechler asserts that the structure
$\left(\omega^\omega,\le^*\right)$ is universal in the sense that for any
$\sigma$-directed poset P with no maximal element, there is a ccc forcing
extension in which $\left(\omega^\omega,\le^*\right)$ contains a cofinal
order-isomorphic copy of P.
  In this paper, we prove a consistency result concerning the universality of
the higher analogue $\left(\kappa^\kappa,\le^S\right)$:
  Theorem. Assume GCH. For every regular uncountable cardinal $\kappa$, there
is a cofinality-preserving GCH-preserving forcing extension in which for every
analytic quasi-order Q over $\kappa^\kappa$ and every stationary subset S of
$\kappa$, there is a Lipschitz map reducing Q to $(\kappa^\kappa,\le^S)$.

27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg