Generating the Pfaffian closure with total Pfaffian functions

Jones, Gareth and Speissegger, Patrick (2011) Generating the Pfaffian closure with total Pfaffian functions. [MIMS Preprint]

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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 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations
MSC 2010, the AMS's Mathematics Subject Classification > 14 Algebraic geometry
MSC 2010, the AMS's Mathematics Subject Classification > 58 Global analysis, analysis on manifolds
Depositing User: Gareth Jones
Date Deposited: 04 Jul 2011
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1641

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