When I read the below picture ,I can't make a example for claim of red box.
2025-01-13 05:50:31.1736747431
Example of fibre bundle is locally product but not globally
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Have you heard of non-trivial covering spaces? --- fiber bundles with discrete fiber!
Have you heard of the Möbius Band? --- fiber bundle over the circle with an interval as fiber!
Both examples are non trivial (i.e. not product bundles).