  In this paper, we aim to introduce the concept of the Ouroboros space and the
complimentary concept of the Ouroboros function by using the Ouroboros equation
[1] as our starting point. We start with a few univariate definitions, and then
move on to multivariate definitions. We contextualize and motivate these
concepts with a few examples. Then, we discuss a few aspects from probability
theory that are relevant to the idea of an Ouroboros space, eventually proving
two critical theorems. We briefly introduce the case of mixed domains, and
summarize our findings, while emphasizing the importance of self-referential
functions.
