Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor Topology   A subunit in a monoidal category is a subobject of the monoidal unit for
which a canonical morphism is invertible. They correspond to open subsets of a
base topological space in categories such as those of sheaves or Hilbert
modules. We show that under mild conditions subunits endow any monoidal
category with a kind of topological intuition: there are well-behaved notions
of restriction, localisation, and support, even though the subunits in general
only form a semilattice. We develop universal constructions completing any
monoidal category to one whose subunits universally form a lattice, preframe,
or frame.

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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics