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Timeline for Exact 1- and 2-forms in $R^n$

Current License: CC BY-SA 3.0

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May 27, 2012 at 4:59 comment added Xiaolei Wu @Alan, you can say every closed loop is contractible, which is the same as simply connected.
May 26, 2012 at 21:32 comment added Charles Matthews Well, it's a matter of paraphrase, then. The second para of your question suggests you would like something more than just a sufficient condition on the topology. Taking the complement of a point in three-space, the topologist might divide it into two pieces that were contractible and overlapped.
May 26, 2012 at 19:10 comment added Alan Macdonald I am aware of de Rham cohomology. But I asked for something "suitable for the elementary vector calculus course".
May 26, 2012 at 18:42 history answered Charles Matthews CC BY-SA 3.0