Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Martin's maximum revisited   We present several results relating the general theory of the stationary
tower forcing developed by Woodin with forcing axioms. The main results is that
the forcing axiom MM^{++} (also known as MM^{+\omega_1}) decides the
\Pi_2-theory of H_{\omega_2} with respect to stationary set preserving
forcings. We argue that this is a close to optimal generalization to
H_{\omega_2} of Woodin's absoluteness results for L(R).

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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an