Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cellular Resolutions of Ideals Defined by Simplicial Homomorphisms   In this paper we introduce the class of ordered homomorphism ideals and prove
that these ideals admit minimal cellular resolutions constructed as
homomorphism complexes. As a key ingredient of our work, we introduce the class
of cointerval simplicial complexes and investigate their combinatorial and
topological properties. As a concrete illustration of these structural results,
we introduce and study nonnesting monomial ideals, an interesting family of
combinatorially defined ideals.

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The categories of this paper are: eess
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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: adap-org
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
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The categories of this paper are: funct-an