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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
Just to save possible duplication of effort: the review article Jim refers to in #3 is this.
And this is what I (essentially) sent him in email a minute ago.
With regard to your last nForum question, I did spot this: “In 1972 Epstein [E] showed that M has a C^1 foliation by circles if and only if M is a Seifert fibred space.”
And ‘leaves having equal dimension’ to define ‘regular foliation’ is basically a quote from our article foliation.
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