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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 …
Georges Elencwajg's user avatar
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 $ …
Georges Elencwajg's user avatar