Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From maps between coloured operads to Swiss-Cheese algebras   In the present work, we extract pairs of topological spaces from maps between
coloured operads. We prove that those pairs are weakly equivalent to explicit
algebras over the one dimensional Swiss-Cheese operad SC_{1}. Thereafter, we
show that the pair formed by the space of long knots and the polynomial
approximation of (k)-immerions from R^{d} to R^{n} is an SC_{d+1}-algebra
assuming the Dwyer-Hess'conjecture.

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The categories of this paper are: econ
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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph