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arXiv.org e-Print Archive
Preprint . 2012
Data sources: arXiv.org e-Print Archive
Fundamenta Mathematicae
Article . 2014 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2012
License: arXiv Non-Exclusive Distribution
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Ample hierarchy

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2014Embargo end date: 01 Jan 2012 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Fundamenta Mathematicae, volume 224, pages 97-153 (issn: 0016-2736, eissn: 1730-6329, Copyright policy )Funded by:ANR | MODIG
Authors: Baudisch, Andreas; Martin-Pizarro, Amador; Ziegler, Martin;

doi: 10.4064/fm224-2-1 , 10.48550/arxiv.1210.2552

arXiv: 1210.2552

Abstract

The ample hierarchy of geometries of stables theories is strict. We generalise the construction of the free pseudospace to higher dimensions and show that the n-dimensional free pseudospace is ��-stable n-ample yet not (n+1)-ample. In particular, the free pseudospace is not 3-ample. A thorough study of forking is conducted and an explicit description of canonical bases is exhibited.

Section 7 contains more information about ranks

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Keywords

03C45, FOS: Mathematics, Mathematics - Logic, Logic (math.LO)

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
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