Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential-henselianity and maximality of asymptotic valued
  differential fields   We show that asymptotic (valued differential) fields have unique maximal
immediate extensions. Connecting this to differential-henselianity, we prove
that any differential-henselian asymptotic field is differential-algebraically
maximal, removing the assumption of monotonicity from a theorem of
Aschenbrenner, van den Dries, and van der Hoeven (arXiv:1509.02588, Theorem
7.0.3). Finally, we use this result to show the existence and uniqueness of
differential-henselizations of asymptotic fields.

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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: eess