P1: A curve defines a vector at point.(adsbygoogle = window.adsbygoogle || []).push({});

P2: A function defines a covector at a point.

F1a: A congruence of curves defines a vector field.

F1b:Every vector field corresponds to a congruence of curves.

Statements F1 are analogous to P1.

F2a: A "congruence of functions" defines a covector field?

F2b: Every covector field correspond to a "congruence of functions"?

What, if any, are the correct statements F2 that would be analogous to P2, just as F1 is analogous to P1?

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# Analogy between vectors and covectors

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