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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

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Why should I prefer bundles to (surjective) submersions?

The essential point is that a submersion is not necessarily locally trivial whilst this is a crucial assumption for fibre bundles. Necessary and sufficient conditions can be given to ensure the submer …
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