In prepartion for the example of a Mobius strip, a cylinder is often taken as a first example of a trivial fiber bundle with fiber $I$ and total space $S^1\times I$. However, it seems to me that we can also look at a cylinder as a fiber bundle with fiber $S^1$ parametrized by $I$. Is this incorrect?
2026-03-29 04:34:27.1774758867
Cylinder as trivial fiber bundle with fiber $S^1$?
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