Definable quotients of locally definable groups
Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$...
Ausführliche Beschreibung
Autor*in: |
Eleftheriou, Pantelis E. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2012 |
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Schlagwörter: |
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Anmerkung: |
© Springer Basel AG 2012 |
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Übergeordnetes Werk: |
Enthalten in: Selecta mathematica - SP Birkhäuser Verlag Basel, 1993, 18(2012), 4 vom: 23. März, Seite 885-903 |
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Übergeordnetes Werk: |
volume:18 ; year:2012 ; number:4 ; day:23 ; month:03 ; pages:885-903 |
Links: |
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DOI / URN: |
10.1007/s00029-012-0091-5 |
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Katalog-ID: |
OLC206953975X |
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10.1007/s00029-012-0091-5 doi (DE-627)OLC206953975X (DE-He213)s00029-012-0091-5-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Eleftheriou, Pantelis E. verfasserin aut Definable quotients of locally definable groups 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Basel AG 2012 Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$ and to the divisibility of $${\mathcal{U}}$$ . O-minimality Locally definable groups Definable quotients Type-definable groups Peterzil, Ya’acov aut Enthalten in Selecta mathematica SP Birkhäuser Verlag Basel, 1993 18(2012), 4 vom: 23. März, Seite 885-903 (DE-627)171156862 (DE-600)1158980-2 (DE-576)038490609 1022-1824 nnns volume:18 year:2012 number:4 day:23 month:03 pages:885-903 https://doi.org/10.1007/s00029-012-0091-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4277 AR 18 2012 4 23 03 885-903 |
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Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$ and to the divisibility of $${\mathcal{U}}$$ . © Springer Basel AG 2012 |
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Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$ and to the divisibility of $${\mathcal{U}}$$ . © Springer Basel AG 2012 |
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Abstract We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$ and to the divisibility of $${\mathcal{U}}$$ . © Springer Basel AG 2012 |
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