Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revisiting the nilpotent polynomial Hales-Jewett theorem   Answering a question posed by Bergelson and Leibman in [6], we establish a
nilpotent version of the polynomial Hales-Jewett theorem that contains the main
theorem in [6] as a special case. Important to the formulation and the proof of
our main theorem is the notion of a relative syndetic set (relative with
respect to a closed non-empty subsets of $\beta\mathbf{G}$) [25]. As a
corollary of our main theorem we prove an extension of the restricted van der
Waerden Theorem to nilpotent groups, which involves nilprogressions.

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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas