Quasiminimal structures and excellence

Martin Bays; Bradd Hart; Tapani Hyttinen; Meeri Kesala; Jonathan Kirby

doi:10.1112/blms/bdt076

Quasiminimal structures and excellence

Martin Bays, Bradd Hart, Tapani Hyttinen, Meeri Kesala, Jonathan Kirby

Logic

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

21 Downloads (Pure)

Abstract

We show that the excellence axiom in the definition of Zilber's quasiminimal excellent classes is redundant, in that it follows from the other axioms. This substantially simplifies a number of categoricity proofs.

Original language	English
Pages (from-to)	155-163
Journal	Bulletin of the London Mathematical Society
Volume	46
Issue number	1
Early online date	24 Oct 2013
DOIs	https://doi.org/10.1112/blms/bdt076
Publication status	Published - 2014

Access to Document

10.1112/blms/bdt076

Bull. London Math. Soc.-2013-Bays-blms_bdt076Final published version, 162 KB

Cite this

@article{5d617baf374d4cfa8d1b8e633783590a,

title = "Quasiminimal structures and excellence",

abstract = "We show that the excellence axiom in the definition of Zilber's quasiminimal excellent classes is redundant, in that it follows from the other axioms. This substantially simplifies a number of categoricity proofs.",

author = "Martin Bays and Bradd Hart and Tapani Hyttinen and Meeri Kesala and Jonathan Kirby",

year = "2014",

doi = "10.1112/blms/bdt076",

language = "English",

volume = "46",

pages = "155--163",

journal = "Bulletin of the London Mathematical Society",

issn = "0024-6093",

publisher = "Wiley",

number = "1",

}

TY - JOUR

T1 - Quasiminimal structures and excellence

AU - Bays, Martin

AU - Hart, Bradd

AU - Hyttinen, Tapani

AU - Kesala, Meeri

AU - Kirby, Jonathan

PY - 2014

Y1 - 2014

N2 - We show that the excellence axiom in the definition of Zilber's quasiminimal excellent classes is redundant, in that it follows from the other axioms. This substantially simplifies a number of categoricity proofs.

AB - We show that the excellence axiom in the definition of Zilber's quasiminimal excellent classes is redundant, in that it follows from the other axioms. This substantially simplifies a number of categoricity proofs.

U2 - 10.1112/blms/bdt076

DO - 10.1112/blms/bdt076

M3 - Article

VL - 46

SP - 155

EP - 163

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 1

ER -