proposition 14.98 A principal bundle is trivial if and only if it has a global section
open in the book ·
parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4133
· p. 589
Rests on
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depends_on
definition 14.96
Section
¶
- depends_on definition 14.95 Fibre bundle ¶
-
depends_on
definition 14.97
Principal bundle
¶
- depends_on definition 14.95 Fibre bundle ¶ ↺
- proves proof ch:12-lie-groups-fibre-bundles@proof-40 ¶
Supports
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Section | declared | parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4136 |
depends_on |
→ | Principal bundle | declared | parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4136 |
proves |
← | ch:12-lie-groups-fibre-bundles@proof-40 | declared | parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4139 |