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: | https://eprints.maths.manchester.ac.uk/id/eprint/1641 |
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