Univariate Polynomials on Complex Numbers are Infinite-Dimensional

Last updated Nov 1, 2022

Let $P[\mathbb{C}]$ be the space of polynomials over $\mathbb{C}$. $P[\mathbb{C}]$ is an Infinite-Dimensional Vector Space.

TODO - Use Univariate Polynomials on Real Numbers are Infinite-Dimensional, $\mathbb{R} \subset \mathbb{C}$, and Dimension of Subspace cannot be bigger than Parent Vector Space.