As I understand it, infinities typically have a one-to-one mapping with known sets. The denumerable infinity has a one-to-one mapping with integers, rational numbers, and natural numbers. The nondenumerable infinity has a one-to-one mapping to the set of real numbers and the power set of the integers.
Is there any such set that maps to $1/0$ in wheel theory? It's definition appears to be a type of infinity. Am I correct about this or is my assumption outside the standard definitions used in wheel theory?
Thinking of $\mathbb R$ as an affine line, one can complete it to a real projective line $\mathbb R P^1$ by adding an "ideal point at infinity" sometimes denoted $\infty$. Similarly, viewing $\mathbb C$ as an affine complex line, one adds a point at infinity to form the complex projective line $\mathbb C P^1$. These are examples of wheels in wheel theory where one similarly adds points at infinity. Such a notion of a point at infinity has nothing to do with Cantorian infinite cardinals, whether denumerable or non-denumerable.