Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Containment in (s,t)-core Partitions   We introduce the idea of (s,t)-closure and delta-sets and show that
(s,t)-closed beta-sets which are contained set-wise in (s,t)-closed delta-sets
are also contained partition-wise. This implies the maximal (s,t)-core
partition theorem of Olsson and Stanton. Along the way, we reprove the
(s,s+1)-core case, originally proved by Olsson and Stanton, using new
techniques, and several lemmas and propositions regarding the containment of
partitions are presented as well. Finally, we study how these apply to
partitions which are T-core.

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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nlin