Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A continuous deRham antidifferential   Let M be a manifold, possibly with boundary. We show that the deRham
differential from k-forms to exact (k+1)-forms has a continuous right inverse
when both spaces are given the weak Whitney topology. This antidifferential
operator is given a fairly explicit formula depending on the choice of a
suitable good cover of M and local coordinates on the elements of the cover. If
the antidifferential operator is applied to a smooth family of exact forms, it
produces a smooth family of forms.

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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex