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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeFeb 6th 2013
• (edited Feb 6th 2013)

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 $\subset$ formal = arbitrary order infinitesimal $\subset$ local = stalkwise $\subset$ 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.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJul 23rd 2014

I have added two more rows to infinitesimal and local - table (see there) and included it into the relevant entries

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