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I felt like starting a table infinitesimal and local - table and included it into the relevant entries. So far it reads as follows:
first order infinitesimal object | infinitesimal | formal = arbitrary order infinitesimal | local = stalkwise | finite | |||
---|---|---|---|---|---|---|---|
derivative | Taylor series | germ | function | ||||
tangent vector | jet | germ of curve | curve | ||||
Lie algebra | formal group | local Lie group | Lie group | ||||
Poisson manifold | formal deformation quantization | local strict deformation quantization | strict deformation quantization |
Can be further expanded, clearly.
I have added two more rows to infinitesimal and local - table (see there) and included it into the relevant entries
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