It is equivalent to say that A has finite global dimension.
In this section, a central simple algebra is assumed to have finite dimension.
If the axiom of choice holds, this is true without the assumption that V has finite dimension.
It is played on a grid of unspecified finite dimensions.
For example The brake dive of a motorcycle cannot be found from a single point, and a sketch with finite dimensions is required.
The general theory currently only applies when the center manifold itself is of finite dimension.
This is true because the vector space has the finite dimension .
"How does one get out of the finite dimensions?"
You asked me how I get out of the finite dimensions when I feel like it.
In finite dimensions, this duality goes in both directions (see below).