Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enrichment as Categorical Delooping I: Enrichment Over Iterated Monoidal
  Categories   The 2-category V-Cat of categories enriched over a braided monoidal category
V is not itself braided in any way that is based upon the braiding of V. The
exception is the case in which V is symmetric, which leads to V-Cat being
symmetric as well. This paper describes how these facts are related to a
categorical analogue of topological delooping. It seems that the analogy of
loop spaces is a good guide for how to define the concept of enrichment over
various types of monoidal objects, including k-fold monoidal categories and
their higher dimensional counterparts. The main result is that for V a k-fold
monoidal category, V-Cat becomes a (k-1)-fold monoidal 2-category in a
canonical way. I indicate how this process may be iterated by enriching over
V-Cat, along the way defining the 3-category of categories enriched over V-Cat.

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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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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: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess