Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The May-Milgram filtration and $E_k$-cells   We describe an $E_k$-cell structure on the free $E_{k+1}$-algebra on a point,
and more generally describe how the May-Milgram filtration of $\Omega^m
\Sigma^m S^{k}$ lifts to a filtration of the free $E_{k+m}$-algebra on a point
by iterated pushouts of free $E_k$-algebras.

3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys