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Hausdorff dimension, box dimension, packing dimension and similar concepts.
4
votes
Is there an axiomatic approach of the notion of dimension ?
My gut feeling is that no list of axioms could simultaneously cover Lebesgue dimension, vector space dimension, Krull dimension, fractal dimension,...
It is not clear to me, for example, how axioms …
43
votes
Accepted
Rank of a module
Since your profile says you are interested in Algebraic Geometry, here are geometric considerations that might appeal to you.
Consider a projective module $P$ of finite type over a commutative ring $ …