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Sep 16, 2017 at 16:09 comment added Qfwfq @SeanTilson: I'm rather late to the party, but: I think one should think of submertions as (a slightly more global version of) foliations on the source space.
Aug 4, 2010 at 2:00 comment added Sean Tilson This is an interesting comment, it leads me to wonder if it would be good to think of submersions as bundles with singularities. But I guess that is obvious since everything we are working with is a manifold and so locally it would always look like a product.
Aug 4, 2010 at 0:51 comment added Ryan Budney Well, for maps like $\mathbb C \setminus \{0\} \to \mathbb R$ given by projection onto the x-axis, it matters.
Aug 4, 2010 at 0:42 history edited Sean Tilson CC BY-SA 2.5
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Aug 3, 2010 at 20:13 history answered Sean Tilson CC BY-SA 2.5