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Arc-meromorphous functions

2020
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Annales Polonici Mathematici
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We introduce arc-meromorphous functions, which are continuous functions representable as quotients of semialgebraic arc-analytic functions, and develop the theory of arc-meromorphous sheaves on Nash manifolds. Our main results are Cartan's theorems A and B for quasi-coherent arc-meromorphous sheaves. 0. Introduction. In this note, building on the theory of arc-analytic functions initiated by the second named author [16], we introduce arcmeromorphous functions and arc-meromorphous sheaves on

doi:10.4064/ap200517-7-8
fatcat:2qk5rsvj6bddbpz2hrrkk3g3zq