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2011.53: Generating the Pfaffian closure with total Pfaffian functions

2011.53: Gareth Jones and Patrick Speissegger (2011) Generating the Pfaffian closure with total Pfaffian functions.

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Abstract

Given an ominimal expansion R of the real field, we show that the structure obtained from R by iterating the operation of adding all total Pfaffian functions over R defines the same sets as the Pfaffian closure of R

Item Type:MIMS Preprint
Uncontrolled Keywords:ominimal structure, Pfaffian function, Rolle leaf, CICADA
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 14 Algebraic geometry
MSC 2000 > 58 Global analysis, analysis on manifolds
MIMS number:2011.53
Deposited By:Gareth Jones
Deposited On:04 July 2011

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