Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kruskal-Katona Theorem for t-spread strongly stable ideals   We prove that any t-spread strongly stable ideal has a unique t-spread lex
ideal with the same f-vector. We also characterize the possible f-vectors of
t-spread strongly stable ideals in the "t-spread" analogue of Kruskal-Katona
theorem.

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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci