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arxiv 2401.04697 v2 pith:CMCK7234 submitted 2024-01-09 math.LO

Blaise Boissonneau This is my paper · ORCID
classification math.LO
keywords fieldsnipnvaluedhenseliananscombe-jahnkechipsclassesclassification
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We give general conditions under which classes of valued fields have NIPn transfer and generalize the Anscombe-Jahnke classification of NIP henselian valued fields to NIPn henselian valued fields.

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  1. On n-dependent groups and fields III. Multilinear forms and invariant connected components

    math.LO 2024-12 accept novelty 8.0 of 10

    Over NIP fields, infinite dimensional alternating n-linear spaces are strictly n-dependent and NSOP1, proved via a new composition lemma for NIP relations and connected-component analysis.

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