Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Colored DG-operads and homotopy adjunction for DG-categories   Generalizing the approach to pseudo monoidal DG-categories as certain colored
non-symmetric DG-operads, we introduce a certain relaxed notion of a category
enriched in DG-categories. We construct model structures on the category of
colored non-symmetric DG-operads and on the category of DGCat-enriched
categories with a fixed set of objects. This allows us to talk about strong
homotopy maps in both settings. We discuss the notion of a strong homotopy
monad in a DG-category and a notion of strong homotopy adjunction data for two
DG-functors.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio