Can You Perform Vector Calculations in Fractal Dimensions?

[Niv]

Hey, first I want to say my English & Math aren't the best yet, so ill be glad to explain myself again if I'll need to

I hope this question belongs to this section.

I want to ask, is there today a way to do calculations about vectors above fractal dimension? (and I would like to know how if there is)
I think I managed to create a Metric for the distances of 2 points in some fractals, but didn't get much forward.

Thanking you in anticipation, Niv.

 

[Niv]

wow a lot of views

amm if there is someone who don't know, but thinks that if there was this kind of a thing he would have know, please write that 2.

Do u think such a thing can be exist or there r theoretical limitation about it?

but ill wait in patience

 

[StatusX]

Tensors are built from vector spaces, and the dimension of a vector space is defined as the cardinality of a basis, which must be a positive integer. I'm guessing the vector space dimension of a topological vector space matches its topological dimension in most cases, although I've never seen a proof of this.

 

[Niv]

How do I write and do calculation on those vectors?

Can I describe a vector in a that belongs to a 2.5 dimension, in less then 3 coordinates?

Do u know about cases which in the topological dimension don't much the space dimension?

Thank u very much.