Let say $C$ is a Jordan curve (rectifiable, closed with not self-intersections). Is there a term for the family $\{tC\mid t\in\mathbb R\}$? Is "foliation" the right word?
2026-04-05 17:00:37.1775408437
Is foliation the right word?
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As discussed in the comments, the use of the term "foliation" is not advisable in such a context, as foliation has a different mathematical meaning.
That being said, it is sometimes acceptable to borrow terms from another area of mathematics, as long as there's no chance of confusion. Even in that case, clarifying your terminology is always a good idea.