Infinite-Dimensional Vector Space

Last updated Nov 1, 2022

Let $V$ be a Vector Space. We say that $V$ is an Infinite-Dimensional Vector Space if it is not a Finite-Dimensional Vector Space.

1. Note that this does not make any claim about whether $V$ has a Vector Space Basis. That is addressed in Every Vector Space has a Basis, but we can still work with Infinite-Dimensional Vector Spaces if we do not need a Vector Space Basis.