Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry
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| Creator |
Burke, M.
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| Description |
We extend some fundamental definitions and constructions in the established generalisation of Lie theory involving Lie groupoids by reformulating them in terms of groupoids internal to a well-adapted model of synthetic differential geometry. In particular we define internal counterparts of the definitions of source path and source simply connected groupoid and the integration of A-paths. The main results of this paper show that if a classical Hausdorff Lie groupoid satisfies one of the classical connectedness conditions it also satisfies its internal counterpart.
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| Date |
2019-02-18T15:39:03Z
2019-02-18T15:39:03Z 2017 |
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| Type |
Article
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| Identifier |
Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry / M. Burke // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 27 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 22E60; 22E65; 03F55; 18B25; 18B40 DOI:10.3842/SIGMA.2017.007 http://dspace.nbuv.gov.ua/handle/123456789/148557 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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