Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Newtonian valued differential fields with arbitrary value group   The notion of newtonianity is central to the study of the ordered
differential field of logarithmic-exponential transseries done by
Aschenbrenner, van den Dries, and van der Hoeven; see Chapter 14 of
arxiv:1509.02588. We remove the assumption of divisible value group from two of
their results concerning newtonianity, namely the newtonization construction
and the equivalence of newtonianity with asymptotic differential-algebraic
maximality. We deduce the uniqueness of immediate differentially algebraic
extensions that are asymptotically differential-algebraically maximal.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci