Combinatorial properties of nonarchimedean convex sets

HIGHLIGHTS

  • who: Artem Chernikov and Alex Mennen from the (UNIVERSITY) have published the research: Combinatorial properties of nonarchimedean convex sets, in the Journal: (JOURNAL)
  • what: The authors provide a simple description for the O-submodules of K d over a spherically complete valued field K (and over an arbitrary valued field K in the finitely generated case).

SUMMARY

    A (valuational) quasiball is a set B={x ∈ K: ν(x - c) ∈ 1} for some c ∈ K and an upwards closed subset 1 of 0∞. The authors say that B is a closed (respectively, open . . .

     

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